Özgeçmiş, Erhan Güler

Özgeçmiş, Erhan Güler Yrd.Doç.Dr. Erhan Güler doktorasını 2010 yılında Ankara Üniversitesi nde Matematik (Diferensiyel Geometri) alanında yapmıştır. 2011-2012 arası TUBITAK bursu ile Belçika, Katholieke Leuven Üniversitesi nde Prof.Dr. Franki Dillen ile çalışmıştır. Davetli araştırmacı olarak İspanya, Granada Üniversitesi nde Prof.Dr. Rafael Lopez (2014), TUBITAK bursu ile Japonya, Kobe Universitesi nde kısa süreli ziyaretlerle Prof.Dr. Wayne Rossman ve Dr. Masashi Yasumoto (2014) ile çalışmalarda bulunmuştur. Halen Prof.Dr. H.Hilmi Hacısalihoğlu, Prof.Dr. Martin Magid, Prof.Dr. George Kaimakamis, Prof.Dr. Gang Xu ve Yrd.Doç.Dr. Ömer Kişi ile bazı projeler üzerinde çalışmaktadır. Adres (iş) e-posta Bartın Üniversitesi Fen Fakültesi Matematik Bölümü Kutlubey Kampüsü 74100 Bartın, Türkiye eguler@bartin.edu.tr Telefon +90 378 223 5238 Faks +90 378 223 5230 eğitim derece bölüm / program üniversite yıllar Doktora Y.L. Lisans Matematik / Geometri Matematik / Geometri Matematik Ankara Üniversitesi Ankara, Türkiye Gazi Üniversitesi Ankara, Türkiye Ondokuz Mayıs Üniversitesi Samsun, Türkiye Eyl. 2007-Nis. 2010 Eyl. 2003-Şub. 2005 Eyl. 1993-Tem. 1997 doktora tez başlığı ve danışmanı 3-boyutlu Minkowski uzayında lightlike üreteç eğrili timelike helisoidal ve dönel yüzeyler ilgi alanları ilk danışman : Prof. Dr. H. Hilmi Hacısalihoğlu ikinci danışman : Prof. Dr. Yusuf Yaylı Matematik, geometri, Öklid ve Öklid-dışı geometriler, diferensiyel geometri Eğri-yüzey teorisi, minimal yüzeyler teorisi, helisoidal-dönel hiperyüzeyler, 4-boyut, n-boyut, çarpım uzayları Bilgisayar bilimi, CAD, CAGD, Mathematica, Maple, Matlab, Visu Math, Scientific Workplace, LaTeX yurtdışı seminerler Güler E. Helicoidal surfaces of value m. Kyushu Üniversitesi, Matematik Fakültesi, Fukuoka, Japonya, 11 Temmuz 2014. Güler E. On Bour s minimal surface. Katholieke Leuven Üniversitesi, Matematik Bölümü, Leuven, Belçika, 10 Şubat 2012. 1

görevler görev yer yıl(lar) Yrd. Doç. Dr. Matematik Bölüm Başkanı Yrd. Doç. Dr. Doktora Sonrası Araştırmacı Yrd. Doç. Dr. Davetli Araştırmacı Yrd. Doç. Dr. Öğretim Üyesi Dr., Mat. Öğrt. Dr. Doktora Sonrası Araştırmacı Dr., Mat. Öğrt. Mat. Öğrt. Mat. Öğrt. Bartın Üniversitesi Fen Fakültesi, Matematik Bölümü Bartın, Türkiye Kobe Üniversitesi Matematik Bölümü, Geometri Anabilim Dalı Kobe, Japonya Granada Üniversitesi Geometri ve Topoloji Bölümü Granada, İspanya Bartın Üniversitesi Fen Fakültesi, Matematik Bölümü Bartın, Türkiye Milli Eğitim Bakanlığı (MEB) 2016-2014 2014 2013-2016 Ankara, Türkiye 2012-2013 Katholieke Leuven Üniversitesi Matematik Bölümü, Geometri Anabilim Dalı Leuven, Belçika Milli Eğitim Bakanlığı (MEB) Ankara, Türkiye Ankara, Türkiye Samsun, Türkiye 2011-2012 2010-2011 2002-2010 1998-2002 yayınlar Güler E., Kişi Ö. Weierstrass representation, degree and classes of the surfaces in the four dimensional Euclidean space. Celal Bayar University Journal of Science, 13-1 (2017) 155-163. Güler E., Kişi Ö. Rotational hypersurfaces in S 3 (r) R product space. Sakarya University Journal of Science, 21-3 (2017) 350-355. Kişi Ö., Güler E. On statistical convergence with respect to measure. Journal of Classical Analysis, 10-1 (2017) 77 85. Güler E., Magid M., Yaylı Y. Laplace-Beltrami operator of a helicoidal hypersurface in four-space. Journal of Geometry and Symmetry in Physics, 41 (2016) 77-95. Güler E., Konnai S., Yasumoto M. Bour surface companions in space forms. Geometry, Integrability and Quantization, 17 (2016) 256-269. Xu G., Rabczuk T., Güler E., Wu X., Hui K., Wang G. Quasi-harmonic Bezier approximation of minimal surfaces for finding forms of structural membranes. Computers & Structures, 161 (2015) 55-63 (SCI Exp.). Güler E., Yaylı Y. Generalized Bour s theorem. Kuwait Journal of Science, 42-1 (2015) 79-90 (SCI Exp.). Güler E. A new kind of helicoidal surface of value m. International Electronic Journal of Geometry, 7-1 (2014) 154-162. Güler E. III Laplace-Beltrami operator and (S,L)-type rotational surface. Mathematica Aeterna, 2-10 (2012) 847-854. Güler E., Hacısalihoğlu H.H. Timelike rotational surfaces with lightlike profile curve. Communications de la Faculté des Sciences de l'université d'ankara. Séries A1: Mathematics and Statistics, 60-1 (2011) 27-47. Güler E., Yaylı Y., Hacısalihoğlu H.H. Bour s theorem on Gauss map in 3-Euclidean space. Hacettepe Journal of Mathematics and Statistics, 39-4 (2010) 515-525 (SCI Exp.). Güler E., Vanlı A. On the mean, Gaussian, second Gaussian and the second mean curvature of the helicoidal surfaces with lightlike axis in R,. Tsukuba Journal of Mathematics, 32-1 (2008) 1-17. Güler E. Bour s theorem on timelike helicoidal surfaces with (L,L) type in Minkowski 3 space. Beykent University Journal of Science and Technology, 2-1 (2008) 82-94. Güler E. Bour s theorem and lightlike profile curve. Yokohama Mathematical Journal, 54-1 (2007) 55-77. Güler E., Vanlı A. Bour's theorem in Minkowski 3-space. Kyoto Journal of Mathematics, 46-1 (2006) 47-63 (SCI Exp.). 2

sempozyumlar 2018 Güler E., Kişi Ö. Dini s type hypersurface in 4-space. 2017 Güler E., Kişi Ö. The second Laplace-Beltrami operator on the rotational hypersurfaces in the Euclidean 4-space. Caucasian Mathematics Conference (CMC-II), Yüzüncü Yıl University, Van, Türkiye. Güler E., Hacısalihoğlu H.H. On the Gauss map of the rotational 3-surface in 4-space. 15th International Geometry Symposium, Amasya University, Amasya Türkiye. Güler E., Hacısalihoğlu H.H. Generalized helicoidal 3-surface in 4-space. 15th International Geometry Symposium, Amasya University, Amasya Türkiye. Güler E., Kişi Ö. Rotational hypersurfaces in E 6. 4th International Intuitionistic Fuzzy Sets and Contemporary Mathematics Conference (IFSCOM 2017), Mersin University, Mersin, Türkiye. Güler E., Kişi Ö. Differential equations on the rotational hypersurfaces in E 5. 4th International Intuitionistic Fuzzy Sets and Contemporary Mathematics Conference (IFSCOM 2017), Mersin University, Mersin, Türkiye. 2016 Güler E., Kişi Ö. Weierstrass representation, degree and classes of the surfaces in the four dimensional Euclidean space. 3rd International Intuitionistic Fuzzy Sets and Contemporary Mathematics Conference (IFSCOM 2016), Mersin University, Mersin, Türkiye. Güler E. TF-type hypersurfaces in 4-space. 3rd International Intuitionistic Fuzzy Sets and Contemporary Mathematics Conference (IFSCOM 2016), Mersin University, Mersin, Türkiye. Güler E., Magid M., Yaylı Y. Rotational hypersurface in 4-space. ICAA-2016 International Conference on Analysis and Applications, Ahi Evran University, Kırşehir, Türkiye. Güler E., Kişi Ö. Enneper-type surfaces in 4-space International Conference on Analysis and Applications (ICAA-2016), Ahi Evran University, Kırşehir, Türkiye. Güler E., Kişi Ö. Enneper-type surfaces in three dimensional Minkowski space. International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM 2016), Muğla, Türkiye. 2015 Güler E., Magid M. A two-parameter family of Bour's surfaces in four-space. International Workshop on Geometry of Riemannian and Hermitian Manifolds, Sofya, Bulgaristan. Güler E., Yaylı Y. Generalized Bour theorem in Minkowski space form. International Conference on Pure and Applied Mathematics (ICPAM), Van, Türkiye. Güler E., Zambak V. Algebraic surfaces of Henneberg in Minkowski 3-space. International Conference on Pure and Applied Mathematics (ICPAM), Van, Türkiye. Güler E. Helicoidal surfaces of value (m,n) in 3-space. XIII Geometri Sempozyumu, Yıldız Teknik Üniversitesi, İstanbul, Türkiye. Güler E. Higher order algebraic Enneper surfaces in Minkowski geometry. X Ankara Matematik Günleri, Orta Doğu Teknik Üniversitesi, Ankara, Türkiye. Güler E., Yasumoto M. Bour surface companions in space forms. XVII International Conference on Geometry, Integrability and Quantization, Varna, Bulgaristan. 2014 Güler E. Helicoidal surfaces of value m in Euclidean 3-space. Bilecik Şeyh Edebali Üniversitesi, XII Geometri Sempozyumu, Bilecik, Türkiye. Güler E. Null rulings in three dimensional Lorentz-Minkowski space. IX Ankara Matematik Günleri, Atılım Üniversitesi, Ankara, Türkiye. Güler E. Bour's minimal surface revisited: the irreducible implicit equation of the incomplete surface. International Mathematics Symposium, KMD Karatekin Mathematics Days 2014, Çankırı, Türkiye. 2013 Güler E. Bour's minimal surface in three dimensional Lorentz-Minkowski space. Sao Paulo University, GeLoSP2013, VII International Meetings on Lorentzian Geometry, Sao Paulo, Brezilya. Güler E. On Bour s minimal surface. Ordu Üniversitesi, XI Geometri Sempozyumu, Ordu, Türkiye. Güler E. Bour's surface in the 3-dimensional Minkowski space. Ordu Üniversitesi, XI Geometri Sempozyumu, Ordu, Türkiye. Güler E. (T,L)-type rotational surface in three dimensional Lorentz-Minkowski space. Çankaya Üniversitesi, VIII Ankara Matematik Günleri, Ankara, Türkiye. 2012 Güler E., Yaylı Y. Isometric surfaces and III Laplace-Beltrami operator in three dimensional Euclidean space. Balıkesir Üniversitesi, X Geometri Sempozyumu, Balıkesir, Türkiye. 3

2011 Güler E. Isometric surfaces with lightlike profile curve in Minkowski 3-space. Hacettepe Üniversitesi, VI Ankara Matematik Günleri, Ankara, Türkiye. 2010 Güler E., Yaylı Y. Generalized Bour s theorem in 3-dimensional Euclidean space. Akdeniz Üniversitesi, VIII Geometri Sempozyumu, Antalya, Türkiye. V Ankara Matematik Günleri. TOBB-ETU, Ankara, Türkiye (bildirisiz katılım). 2009 Güler E., Yaylı Y., Hacısalihoğlu H.H. Bour s theorem on Gauss map in 3-Euclidean space. Ahi Evran Üniversitesi, VII Geometri Sempozyumu, Kırşehir, Türkiye. IV Ankara Matematik Günleri. Orta Doğu Teknik Üniversitesi, Ankara, Türkiye (bildirisiz katılım). 2008 Güler E., Hacısalihoğlu H.H. Timelike rotational surfaces with lightlike profile curve. Uludağ Üniversitesi, VI Geometri Sempozyumu, Bursa, Türkiye. III Ankara Matematik Günleri. Ankara Üniversitesi, Ankara, Türkiye (bildirisiz katılım). 2007 Güler E., Ikawa T. Bour s theorem with lightlike axis in R,. The National Conference of the Mathematical Society of Japan, Saitama University, Saitama, Japonya. 2006 Güler E., Vanlı A. On the mean, Gaussian, the second mean and the second Gaussian curvature of the helicoidal surfaces with lightlike axis in R,. Karaelmas University, IV International Geometry Symposium, Zonguldak, Türkiye. 2004 Güler E., Vanlı A. Bour's theorem in Minkowski 3-space. Sakarya Üniversitesi, II Geometri Sempozyumu, Sakarya, Türkiye. araştırma, destek ve burslar Bilimsel Etkinliklere Katılma Desteği: Bartın Üniversitesi, 2016 2015-2016 akademik yılı, 29 Ağustos-01 Eylül 2016, bildirili katılım 3rd International Intuitionistic Fuzzy Sets and Contemporary Mathematics Conference (IFSCOM 2016), Mersin, Türkiye http://iifsc.com/?page_id=5 Bilimsel Etkinliklere Katılma Desteği: Bartın Üniversitesi, 2016 2015-2016 akademik yılı, 12-15 Temmuz 2016, bildirili katılım International Conference on Analysis and Applications (ICAA-2016), Kırşehir, Türkiye http://icaa2016.ahievran.edu.tr/_web/default.aspx Bilimsel Etkinliklere Katılma Desteği: Bartın Üniversitesi, 2016 2015-2016 akademik yılı, 19-23 Mayıs, 2016, bildirili katılım International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM 2016), Muğla, Türkiye http://www.icrapam.org Bilimsel Etkinliklere Katılma Desteği: Bartın Üniversitesi, 2015 2015-2016 akademik yılı, 07-10 Aralık 2015, bildirili katılım International Workshop on Geometry of Riemannian and Hermitian Manifolds, Sofya, Bulgaristan http://math.bas.bg/index.php/en/en-mnu-conferences-2/311-ganchev-workshop-en Bilimsel Etkinliklere Katılma Desteği: Bartın Üniversitesi, 2015 2014-2015 akademik yılı, 25-28 Ağustos 2015, bildirili katılım International Conference on Pure and Applied Mathematics (ICPAM), Yüzüncü Yıl Üniversitesi, Van, Türkiye http://icpam.yyu.edu.tr/ Bilimsel Etkinliklere Katılma Desteği: Bartın Üniversitesi, 2015 2014-2015 akademik yılı, 27-30 Temmuz 2015, bildirili katılım XIII Geometri Sempozyumu, Yıldız Teknik Üniversitesi, İstanbul, Türkiye http://www.13geosem.yildiz.edu.tr/ Bilimsel Etkinliklere Katılma Desteği: Bartın Üniversitesi, 2015 2014-2015 akademik yılı, 11-12 Haziran 2015, bildirili katılım X Ankara Matematik Günleri, Orta Doğu Teknik Üniversitesi, Ankara, Türkiye http://amg2015.math.metu.edu.tr/ Bilimsel Etkinliklere Katılma Desteği: Bartın Üniversitesi, 2015 2014-2015 akademik yılı, 05-10 Haziran 2015, bildirili katılım XVIIth International Conference: Geometry, Integrability and Quantization, Varna, Bulgaristan http://www.bio21.bas.bg/conference/ 4

Seminer Desteği: Kyushu Üniversitesi, 11 Temmuz 2014 Kyushu Üniversitesi, Matematik Fakültesi, Fukuoka, Japonya Bu seminer Basic Research (B) 25287012 (Prof. Miyuki Koiso) tarafından desteklenmiştir. http://www.imi.kyushu-u.ac.jp/eng/seminars/category/5 2219-BİDEB Yurt Dışı Doktora Sonrası Araştırma Bursu: TUBITAK, 2014 Doktora sonrası araştırmacı (Prof. Wayne Rossman ile birlikte) 2013-2014 akademik yılı, 2 ay, 2 Temmuz 2014-30 Ağustos 2014, Kobe Üniversitesi, Matematik Bölümü, Geometri Anabilim Dalı, Kobe, Japonya Yurt Dışı Davetli Araştırmacı: (Prof. Rafael Lopez ile birlikte) 2013-2014 akademik yılı, 19-26 Nisan 2014, Granada Üniversitesi, Geometri ve Topoloji Bölümü, Granada, İspanya 2224-Yurt Dışı Uluslararası Bilimsel Etkinliklere Katılma Desteği: TUBITAK, 2013 2012-2013 akademik yılı, 22-26 Temmuz 2013, bildirili katılım GeLoSP2013, VII International Meetings on Lorentzian Geometry, Sao Paulo Üniversitesi, Sao Paulo, Brezilya http://www.ime.usp.br/~gelosp2013/index.php?id=92 2219-BİDEB Yurt Dışı Doktora Sonrası Araştırma Bursu: TUBITAK, 2011 Doktora sonrası araştırmacı (Prof. Franki Dillen ile birlikte) 2011-2012 akademik yılı, 9 ay, 17 Ekim 2011-9 Temmuz 2012, Katholieke Leuven Üniversitesi, Matematik Bölümü, Geometri Anabilim Dalı, Leuven, Belçika https://wis.kuleuven.be/meetkunde/members biten tez danışmanlığı Zambak V. Üç boyutlu Minkowski uzayında Henneberg minimal yüzeyi. Yüksek Lisans. Ağustos 2015. üyelikler Türk Matematik Derneği (TMD), 2015 - reviewer Mathematical Reviews - MathSciNet Reviewer, 2014- reviews MR3640920 Arslan, Kadri; Bulca, Betül; Kosova, Didem, On generalized rotational surfaces in Euclidean spaces. J. Korean Math. Soc. 54 (2017), no. 3, 999-1013. (Reviewer: Erhan Güler) 53A07 (53A05) MR3626934 Okuyucu, O. Zeki; Gök, İsmail; Yayli, Yusuf; Ekmekci, Nejat, Bertrand curves in three dimensional Lie groups, Miskolc Math. Notes 17 (2016), no. 2, 999-1010. (Reviewer: Erhan Güler) 53A04 (22E15) MR3567472 Bejan, Cornelia-Livia and Druc tu a-romaniuc, Simona-Luiza, H-projectively Euclidean Kahler tangent bundles of natural diagonal type. Publ. Math. Debrecen 89 (2016), no. 4, 499-511. (Reviewer: Erhan Güler) 53C55 (53C05 53C15) MR3513635 Hussien, Rawya A.; Mohamed, Samah G. Generated surfaces via inextensible flows of curves in R 3. J. Appl. Math. (2016), 8 pp. (Reviewer: Erhan Güler) 53A04 (53C44) MR3490566 Cakan, Rabia; Akbulut, Kursat; Salimov, Arif Musical isomorphisms and problems of lifts. Chin. Ann. Math. Ser. B 37 (2016), no. 3, 323-330. (Reviewer: Erhan Güler) 53A45 (53C56 55R10) MR3324180 Di Scala, Antonio J.; Mendonça, Sérgio; Mirandola, Heudson; Ruiz-Hernández, Gabriel Isometry actions and geodesics orthogonal to submanifolds. Bull. Braz. Math. Soc. (N.S.) 46 (2015), no. 1, 105-138. (Reviewer: Erhan Güler) 53C22 (53C42) MR3457792 Fu, Yu; Yang, Dan On Lorentz GCR surfaces in Minkowski 3-space. Bull. Korean Math. Soc. 53 (2016), no. 1, 227--245. (Reviewer: Erhan Güler) 53C40 (53B30 53C42) MR3437420 Gábos, Zoltán; Mester, Ágnes Lines in the three-dimensional Bolyai-Lobachevskian hyperbolic geometry. Stud. Univ. Babeş- Bolyai Math. 60 (2015), no. 4, 583-595. (Reviewer: Erhan Güler) 53C22 (53A35) MR3426256 Bérard, Pierre; Cavalcante, Marcos P. Stability properties of rotational catenoids in the Heisenberg groups. Mat. Contemp. 43 (2014), 37-60. (Reviewer: Erhan Güler) 53C42 MR3418459 Balestro, Vitor Curvature motion in time-dependent Minkowski planes. Int. Electron. J. Geom. 8 (2015), no. 2, 70-81. (Reviewer: Erhan Güler) 53C44 MR3411390 Senoussi, Bendehiba; Bekkar, Mohammed Helicoidal surfaces with J r=ar in 3-dimensional Euclidean space. Stud. Univ. Babeş-Bolyai Math. 60 (2015), no. 3, 437-448. (Reviewer: Erhan Güler) 53A05 MR3327058 Belgun, Florin Geodesics and submanifold structures in conformal geometry. J. Geom. Phys. 91 (2015), 172-191. (Reviewer: Erhan Güler) 53A30 (53C22) MR3406027 Kim, Dong-Soo Ruled surfaces and Gauss map. Bull. Korean Math. Soc. 52 (2015), no. 5, 1661-1668. (Reviewer: Erhan Güler) 53A05 (53B25) 5

MR3395803 Turhan, Tunahan; Yüksel, Nural; Ayyildiz, Nihat On pseudohyperbolic space motions. Turkish J. Math. 39 (2015), no. 5, 750-762. (Reviewer: Erhan Güler) 53A04 (53A25 53B30) MR3374042 Ozturk, Ufuk; Cengiz, Suleyman; Koc Ozturk, Esra Betul Motions of curves in the Galilean space G3. Acta Math. Sci. Ser. B Engl. Ed. 35 (2015), no. 5, 1046-1054. (Reviewer: Erhan Güler) 53A04 (53C44) MR3344725 Masal, Melek; Azak, A. Zeynep Frenet apparatus of the curves and some special curves in the Euclidean 5-space E 5. Eur. J. Pure Appl. Math. 8 (2015), no. 2, 255-270 (Reviewer: Erhan Güler) 53A04 MR3305052 Aydin, Gülşah; Gürbüz, Nevin; Görgülü, Ali; Çöken, A. Ceylan Relaxed elastic lines of second kind in dual space. Int. J. Geom. Methods Mod. Phys. 12 (2015), no. 2, 1550016, 1-12 (Reviewer: Erhan Güler) 53A40 (53A25) MR3299018 Nicolai, Mihaela Roxana; Tiba, Dan Implicit functions and parametrizations in dimension three: generalized solutions. Discrete Contin. Dyn. Syst. 35 (2015), no. 6, 2701-2710. (Reviewer: Erhan Güler) 26B10 (53A05) MR3248642 Abdel-Aziz, H. S.; Khalifa Saad, M.; Abdel-Salam, A. A. On implicit surfaces and their intersection curve in Euclidean 4-space. Houston J. Math. 40 (2014), no. 2, 339-352. (Reviewer: Erhan Güler) 53A04 (53A05) MR3215394 Mihai, Adela; Heroiu, Bogdan Flat tensor product surfaces of pseudo-euclidean curves. Ann. Polon. Math. 111 (2014), no. 2, 137-143. (Reviewer: Erhan Güler) 53C42 (53A04) MR3214310 Pyo, Juncheol; Rodríguez, Magdalena Simply connected minimal surfaces with finite total curvature in H 2 R. Int. Math. Res. Not. IMRN (2014), no. 11, 2944-2954. (Reviewer: Erhan Güler) 53A10 (53C42) diğer 2017. Akademik Proje. Proje Yürütücüsü. BAP - Kapsamlı Araştırma Projesi / 2017-FEN-A-x (kabul) Bartın Üniversitesi, Bartın, Türkiye 4-boyutlu Öklid uzayında dönel hiperyüzeyler üzerinde ikinci Laplace-Beltrami operatörü 2016. Akademik Proje. Proje Yürütücüsü. BAP - Kapsamlı Araştırma Projesi / 2016-FEN-A-006 Bartın Üniversitesi, Bartın, Türkiye Dört boyutlu Öklid uzayında yüzeylerin Weierstrass gösterimi, derece ve sınıfları 2014. Akademik Eğitim. TÜBİTAK İngilizce Akademik Yayın Hazırlama Eğitimi, Ankara, Türkiye 2008-2010. Görevlendirme. Ortaöğretim 9-10-11-12. sınıflar Geometri ders programı komisyon üyesi M.E.B. Talim ve Terbiye Kurulu Başkanlığı, Program Araştırma ve Geliştirme Daire Başkanlığı, Ankara, Türkiye 2007-2008. Görevlendirme. Ortaöğretim Matematik ders kitaplarını inceleme komisyon üyesi M.E.B. Talim ve Terbiye Kurulu Başkanlığı, Eğitim-Öğretim Materyallerini İnceleme ve Geliştirme Başkanlığı, Ankara, Türkiye Askerlik Durumu, Terhis, Asteğmen, 16 ay 1999-2000. Saimbeyli Askerlik Şubesi Başkanı, Saimbeyli, Adana, Türkiye, 12 ay 1999. Personel Okulu ve Eğitim Tümen Komutanlığı, Dutlukır, Konya, Türkiye, 4 ay lisans lisansüstü lisans-lisansüstü dersleri Fen Fakültesi, Matematik Bölümü Mühendislik Fakültesi Diferensiyel Geometri 4+0 Matematik İnş. Müh. 4+0 Dönüşümler ve Geometriler 3+0 Matematik Met. & Malz. Müh. 4+0 Matematiksel Programlama 3+0 Matematik Çev.-Teks. Müh. 4+0 Programlama Dili 2+2 Diferensiyel Denklemler Met. & Malz. Müh. 4+0 Matematikte Bitirme Tezi 2+2 Diferensiyel Denklemler Çev.-Teks. Müh 4+0 Temel Bilgi Teknolojileri Kullanımı 3+0 Analiz 4+2 Eğitim Fakültesi Soyut Matematik 2+2 Matematik Fen Bil. 4+0 Soyut Cebir 4+0 Matematik Sın. Öğrt. 2+0 Fen Fakültesi, Biyoteknoloji Bölümü Matematik 3+0 Fen Fakültesi, İstatistik Bölümü Matematik 3+0 Diferensiyel geometride yüzey dizaynı 3+0 Diferensiyel geometride eğri dizaynı 3+0 6

Cirriculum Vitae, Erhan Güler Dr. Erhan Güler received his PhD degree in Mathematics (Differential Geometry) from Ankara University in 2010, then was a TUBITAK Postdoctoral Fellow with Prof. Franki Dillen at Katholieke Leuven University, Belgium from 2011 to 2012. He has worked at Granada University, Spain with Prof. Rafael Lopez (2014), Kobe University, Japan with Prof. Wayne Rossman and Dr. Masashi Yasumoto (2014) for short periods. Nowadays, he works with Prof. H.Hilmi Hacısalihoğlu, Prof. Martin Magid, Prof. George Kaimakamis, Prof. Gang Xu and Dr. Ömer Kişi on some projects. Address (office) e-mail Office telephone Bartın University Faculty of Science Department of Mathematics Kutlubey Campus 74100 Bartın, Turkey eguler@bartin.edu.tr +90 378 223 5238 Fax +90 378 223 5230 education degree department / programme university years Ph.D. M.S. B.A. Mathematics / Geometry Mathematics / Geometry Mathematics Ankara University Ankara, Turkey Gazi University Ankara, Turkey Ondokuz Mayıs University Samsun, Turkey Sep. 2007-Apr. 2010 Sep. 2003-Feb. 2005 Sep. 1993-Jul. 1997 PhD thesis, and supervisors Timelike helicoidal and rotational surfaces with lightlike profile curve in three dimensional Minkowski space 1 st Supervisor : Prof. H. Hilmi Hacısalihoğlu 2 nd Supervisor : Prof. Yusuf Yaylı interests Mathematics, geometry, Euclidean and non-euclidean geometries, differential geometry Curve-surface theory, minimal surface theory, helicoidal-rotational hypersurfaces, 4-spaces, n-spaces, product spaces Computer Science, CAD, CAGD, Mathematica, Maple, Matlab, Visu Math, Scientific Workplace, LaTeX seminars Güler E. Helicoidal surfaces of value m. Kyushu University, Faculty of Mathematics, Fukuoka, Japan, July 11, 2014. Güler E. On Bour s minimal surface. Katholieke Leuven University, Department of Mathematics, Leuven, Belgium, February 10, 2012. 7

positions positions places year(s) Asst. Prof. Head of the Department of Mathematics Asst. Prof. Post-Doctoral Researcher Asst. Prof. Invited Researcher Asst. Prof. Dr., Math. Teacher Dr. Post-Doctoral Researcher Dr., Math. Teacher Math. Teacher Math. Teacher Bartın University Faculty of Science, Department of Mathematics 2016 - Bartın, Turkey Kobe University Department of Mathematics, Section of Geometry 2014 Kobe, Japan Granada University Department of Geometry and Topology 2014 Granada, Spain Bartın University Faculty of Science, Department of Mathematics 2013-2016 Bartın, Turkey Ministry of Education of Turkey (MEB) Ankara, Turkey 2012-2013 Katholieke Leuven University Department of Mathematics, Section of Geometry 2011-2012 Leuven, Belgium Ministry of Education of Turkey (MEB) Ankara, Turkey Ankara, Turkey Samsun, Turkey 2010-2011 2002-2010 1998-2002 publications Güler E., Kişi Ö. Weierstrass representation, degree and classes of the surfaces in the four dimensional Euclidean space. Celal Bayar University Journal of Science, 13-1 (2017) 155-163. Güler E., Kişi Ö. Rotational hypersurfaces in S 3 (r) R product space. Sakarya University Journal of Science, 21-3 (2017) 350-355. Kişi Ö., Güler E. On statistical convergence with respect to measure. Journal of Classical Analysis, 10-1 (2017) 77 85. Güler E., Magid M., Yaylı Y. Laplace-Beltrami operator of a helicoidal hypersurface in four-space. Journal of Geometry and Symmetry in Physics, 41 (2016) 77-95. Güler E., Konnai S., Yasumoto M. Bour surface companions in space forms. Geometry, Integrability and Quantization, 17 (2016) 256-269. Xu G., Rabczuk T., Güler E., Wu X., Hui K., Wang G. Quasi-harmonic Bezier approximation of minimal surfaces for finding forms of structural membranes. Computers & Structures, 161 (2015) 55-63 (SCI Exp.). Güler E., Yaylı Y. Generalized Bour s theorem. Kuwait Journal of Science, 42-1 (2015) 79-90 (SCI Exp.). Güler E. A new kind of helicoidal surface of value m. International Electronic Journal of Geometry, 7-1 (2014) 154-162. Güler E. III Laplace-Beltrami operator and (S,L)-type rotational surface. Mathematica Aeterna, 2-10 (2012) 847-854. Güler E., Hacısalihoğlu H.H. Timelike rotational surfaces with lightlike profile curve. Communications de la Faculté des Sciences de l'université d'ankara. Séries A1: Mathematics and Statistics, 60-1 (2011) 27-47. Güler E., Yaylı Y., Hacısalihoğlu H.H. Bour s theorem on Gauss map in 3-Euclidean space. Hacettepe Journal of Mathematics and Statistics, 39-4 (2010) 515-525 (SCI Exp.). Güler E., Vanlı A. On the mean, Gaussian, second Gaussian and the second mean curvature of the helicoidal surfaces with lightlike axis in R,. Tsukuba Journal of Mathematics, 32-1 (2008) 1-17. Güler E. Bour s theorem on timelike helicoidal surfaces with (L,L) type in Minkowski 3 space. Beykent University Journal of Science and Technology, 2-1 (2008) 82-94. Güler E. Bour s theorem and lightlike profile curve. Yokohama Mathematical Journal, 54-1 (2007) 55-77. Güler E., Vanlı A. Bour's theorem in Minkowski 3-space. Kyoto Journal of Mathematics, 46-1 (2006) 47-63 (SCI Exp.). 8

academic research, support and scholarships Meetings Supporter: Bartın University, 2016 2015-2016 academic year, August 29-September 01, 2016, presentation, 3rd International Intuitionistic Fuzzy Sets and Contemporary Mathematics Conference (IFSCOM 2016), Mersin, Turkey. http://iifsc.com/?page_id=5 Meetings Supporter: Bartın University, 2016 2015-2016 academic year, July 12-15, 2016, presentation, International Conference on Analysis and Applications (ICAA-2016), Kırşehir, Turkey. http://icaa2016.ahievran.edu.tr/_web/default.aspx Meetings Supporter: Bartın University, 2016 2015-2016 academic year, May 19-23, 2016, presentation, International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM 2016), Muğla, Turkey. http://www.icrapam.org Meetings Supporter: Bartın University, 2015 2015-2016 academic year, December 07-10, 2015, presentation, International Workshop on Geometry of Riemannian and Hermitian Manifolds, Sofia, Bulgaria. http://math.bas.bg/index.php/en/en-mnu-conferences-2/311-ganchev-workshop-en Meetings Supporter: Bartın University, 2015 2014-2015 academic year, August 25-28, 2015, presentation, International Conference on Pure and Applied Mathematics (ICPAM), Yüzüncü Yıl University, Van, Turkey http://icpam.yyu.edu.tr/ Meetings Supporter: Bartın University, 2015 2014-2015 academic year, July 27-30, 2015, presentation, XIIIth Geometry Symposium, Yıldız Teknik University, İstanbul, Turkey http://www.13geosem.yildiz.edu.tr/ Meetings Supporter: Bartın University, 2015 2014-2015 academic year, June 11-12, 2015, presentation, X Ankara Mathematics Days, Middle East Technical University, Ankara, Turkey http://amg2015.math.metu.edu.tr/ Meetings Supporter: Bartın University, 2015 2014-2015 academic year, June 05-10, 2015, presentation. XVIIth International Conference: Geometry, Integrability and Quantization, Varna, Bulgaria http://www.bio21.bas.bg/conference/ Seminar Supporter: Fukuoka University, July 11, 2014, Kyushu University, Faculty of Mathematics, Fukuoka, Japan This seminar is supported by Basic Research (B) 25287012 (Prof. Miyuki Koiso) http://www.imi.kyushu-u.ac.jp/eng/seminars/category/5 2219-International Post Doctoral Scholarship: TUBITAK (with Prof. Wayne Rossman) Post Doctoral Researcher, 2013-2014 academic year, 2 months, July 02-August 30, 2014 Kobe University, Department of Mathematics, Section of Geometry, Kobe, Japan Invited Researcher: (with Prof. Rafael Lopez) 2013-2014 academic year, April 19-26, 2014 Granada University, Department of Geometry and Topology, Granada, Spain 2224-International Meetings Supporter: TUBITAK, 2013 July 22-26, 2013, presentation. GeLoSP2013, VII International Meetings on Lorentzian Geometry, Sao Paulo University, Sao Paulo, Brasil http://www.ime.usp.br/~gelosp2013/index.php?id=92 2219-International Post Doctoral Scholarship: TUBITAK, 2011 (with Prof. Franki Dillen) Post Doctoral Researcher, 2011-2012 academic year, 9 months, October 17, 2011-July 09, 2012 Katholieke Leuven University, Department of Mathematics, Section of Geometry, Leuven, Belgium https://wis.kuleuven.be/meetkunde/members TUBITAK: The Scientific and Technological Research Council of Turkey 9

symposiums 2018 Güler E., Kişi Ö. Dini s type hypersurface in 4-space. 2017 Güler E., Kişi Ö. The second Laplace-Beltrami operator on the rotational hypersurfaces in the Euclidean 4-space. Caucasian Mathematics Conference (CMC-II), Yüzüncü Yıl University, Van, Turkey. Güler E., Hacısalihoğlu H.H. On the Gauss map of the rotational 3-surface in 4-space. 15th International Geometry Symposium, Amasya University, Amasya Turkey. Güler E., Hacısalihoğlu H.H. Generalized helicoidal 3-surface in 4-Space. 15th International Geometry Symposium, Amasya University, Amasya Turkey. Güler E., Kişi Ö. Rotational hypersurfaces in E 6. 4th International Intuitionistic Fuzzy Sets and Contemporary Mathematics Conference (IFSCOM 2017), Mersin University, Mersin, Turkey. Güler E., Kişi Ö. Differential equations on the rotational hypersurfaces in E 5. 4th International Intuitionistic Fuzzy Sets and Contemporary Mathematics Conference (IFSCOM 2017), Mersin University, Mersin, Turkey. 2016 Güler E., Kişi Ö. Weierstrass representation, degree and classes of the surfaces in the four dimensional Euclidean space. 3rd International Intuitionistic Fuzzy Sets and Contemporary Mathematics Conference (IFSCOM 2016), Mersin University, Mersin, Turkey. Güler E. TF-type hypersurfaces in 4-space. 3rd International Intuitionistic Fuzzy Sets and Contemporary Mathematics Conference (IFSCOM 2016), Mersin University, Mersin, Turkey. Güler E., Magid M., Yaylı Y. Rotational hypersurface in 4-space. ICAA-2016 International Conference on Analysis and Applications, Ahi Evran University, Kırşehir, Turkey. Güler E., Kişi Ö. Enneper-type surfaces in 4-space International Conference on Analysis and Applications (ICAA-2016), Ahi Evran Üniversitesi, Kırşehir, Turkey. Güler E., Kişi Ö. Enneper-type surfaces in three dimensional Minkowski space. International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM 2016), Muğla, Turkey. 2015 Güler E., Magid M. A two-parameter family of Bour's surfaces in four-space. International Workshop on Geometry of Riemannian and Hermitian Manifolds, Sofya, Bulgaria. Güler E., Yaylı Y. Generalized Bour theorem in Minkowski space form. International Conference on Pure and Applied Mathematics (ICPAM), Van, Turkey. Güler E., Zambak V. Algebraic surfaces of Henneberg in Minkowski 3-space. International Conference on Pure and Applied Mathematics (ICPAM), Van, Turkey. Güler E. Helicoidal surfaces of value (m,n) in 3-space. XIII Geometry Symposium, Yıldız Teknik University, İstanbul, Turkey. Güler E. Higher order algebraic Enneper surfaces in Minkowski geometry. X Ankara Mathematics Days, Middle East Technical University, Ankara, Turkey. Güler E., Yasumoto M. Bour surface companions in space forms. XVII International Conference on Geometry, Integrability and Quantization, Varna, Bulgaria. 2014 Güler E. Helicoidal surfaces of value m in Euclidean 3-space. Bilecik Şeyh Edebali University, XII Geometry Symposium, Bilecik, Turkey. Güler E. Null rulings in three dimensional Lorentz-Minkowski space. IX Ankara Mathematics Days, Atılım University, Ankara, Turkey. Güler E. Bour's minimal surface revisited: the irreducible implicit equation of the incomplete surface. International Mathematics Symposium, KMD Karatekin Mathematics Days 2014, Çankırı, Turkey. 2013 Güler E. Bour's minimal surface in three dimensional Lorentz-Minkowski space. Sao Paulo University, GeLoSP2013, VII International Meetings on Lorentzian Geometry, Sao Paulo, Brasil. Güler E. On Bour s minimal surface. Ordu University, XI Geometry Symposium, Ordu, Turkey. Güler E. Bour's surface in the 3-dimensional Minkowski space. Ordu University, XI Geometry Symposium, Ordu, Turkey. Güler E. (T,L)-type rotational surface in three dimensional Lorentz-Minkowski space. Çankaya University, VIII Ankara Mathematics Days, Ankara, Turkey. 2012 Güler E., Yaylı Y. Isometric surfaces and III Laplace-Beltrami operator in three dimensional Euclidean space. Balıkesir University, X Geometry Symposium, Balıkesir, Turkey. 10

2011 Güler E. Isometric surfaces with lightlike profile curve in Minkowski 3-space. Hacettepe University, VI Ankara Mathematics Days, Ankara, Turkey. 2010 Güler E., Yaylı Y. Generalized Bour s theorem in 3-dimensional Euclidean space. Akdeniz University, VIII Geometry Symposium, Antalya, Turkey. V Ankara Mathematics Days. TOBB-ETU, Ankara, Turkey (participant). 2009 Güler E., Yaylı Y., Hacısalihoğlu H.H. Bour s theorem on Gauss map in 3-Euclidean space. Ahi Evran University, VII Geometry Symposium, Kırşehir, Türkiye. IV Ankara Mathematics Days. Middle East Technical University, Ankara, Turkey (participant). 2008 Güler E., Hacısalihoğlu H.H. Timelike rotational surfaces with lightlike profile curve. Uludağ University, VI Geometry Symposium, Bursa, Türkiye. III Ankara Mathematics Days. Ankara University, Ankara, Turkey (participant). 2007 Güler E., Ikawa T. Bour s theorem with lightlike axis in R,. The National Conference of the Mathematical Society of Japan, Saitama University, Saitama, Japan. 2006 Güler E., Vanlı A. On the mean, Gaussian, the second mean and the second Gaussian curvature of the helicoidal surfaces with lightlike axis in R,. Karaelmas University, IV International Geometry Symposium, Zonguldak, Turkey. 2004 Güler E., Vanlı A. Bour's theorem in Minkowski 3-space. Sakarya University, II Geometry Symposium, Sakarya, Turkey. supervised thesis Zambak V. Henneberg minimal surface in three dimensional Minkowski space. Master of Science. August 2015. memberships Turkish Mathematical Society (TMD), 2015 - reviewer Mathematical Reviews / MathSciNet Reviewer, 2014 - reviews MR3640920 Arslan, Kadri; Bulca, Betül; Kosova, Didem, On generalized rotational surfaces in Euclidean spaces. J. Korean Math. Soc. 54 (2017), no. 3, 999-1013. (Reviewer: Erhan Güler) 53A07 (53A05) MR3626934 Okuyucu, O. Zeki; Gök, İsmail; Yayli, Yusuf; Ekmekci, Nejat, Bertrand curves in three dimensional Lie groups, Miskolc Math. Notes 17 (2016), no. 2, 999-1010. (Reviewer: Erhan Güler) 53A04 (22E15) MR3567472 Bejan, Cornelia-Livia and Druc tu a-romaniuc, Simona-Luiza, H-projectively Euclidean Kahler tangent bundles of natural diagonal type. Publ. Math. Debrecen 89 (2016), no. 4, 499-511. (Reviewer: Erhan Güler) 53C55 (53C05 53C15) MR3513635 Hussien, Rawya A.; Mohamed, Samah G. Generated surfaces via inextensible flows of curves in R 3. J. Appl. Math. (2016), 8 pp. (Reviewer: Erhan Güler) 53A04 (53C44) MR3490566 Cakan, Rabia; Akbulut, Kursat; Salimov, Arif Musical isomorphisms and problems of lifts. Chin. Ann. Math. Ser. B 37 (2016), no. 3, 323-330. (Reviewer: Erhan Güler) 53A45 (53C56 55R10) MR3324180 Di Scala, Antonio J.; Mendonça, Sérgio; Mirandola, Heudson; Ruiz-Hernández, Gabriel Isometry actions and geodesics orthogonal to submanifolds. Bull. Braz. Math. Soc. (N.S.) 46 (2015), no. 1, 105-138. (Reviewer: Erhan Güler) 53C22 (53C42) MR3457792 Fu, Yu; Yang, Dan On Lorentz GCR surfaces in Minkowski 3-space. Bull. Korean Math. Soc. 53 (2016), no. 1, 227-245. (Reviewer: Erhan Güler) 53C40 (53B30 53C42) MR3437420 Gábos, Zoltán; Mester, Ágnes Lines in the three-dimensional Bolyai-Lobachevskian hyperbolic geometry. Stud. Univ. Babeş- Bolyai Math. 60 (2015), no. 4, 583-595. (Reviewer: Erhan Güler) 53C22 (53A35) MR3426256 Bérard, Pierre; Cavalcante, Marcos P. Stability properties of rotational catenoids in the Heisenberg groups. Mat. Contemp. 43 (2014), 37-60. (Reviewer: Erhan Güler) 53C42 MR3418459 Balestro, Vitor Curvature motion in time-dependent Minkowski planes. Int. Electron. J. Geom. 8 (2015), no. 2, 70-81. (Reviewer: Erhan Güler) 53C44 MR3411390 Senoussi, Bendehiba; Bekkar, Mohammed Helicoidal surfaces with J r=ar in 3-dimensional Euclidean space. Stud. Univ. Babeş-Bolyai Math. 60 (2015), no. 3, 437-448. (Reviewer: Erhan Güler) 53A05 MR3327058 Belgun, Florin Geodesics and submanifold structures in conformal geometry. J. Geom. Phys. 91 (2015), 172-191. (Reviewer: Erhan Güler) 53A30 (53C22) MR3406027 Kim, Dong-Soo Ruled surfaces and Gauss map. Bull. Korean Math. Soc. 52 (2015), no. 5, 1661-1668. (Reviewer: Erhan Güler) 53A05 (53B25) 11

MR3395803 Turhan, Tunahan; Yüksel, Nural; Ayyildiz, Nihat On pseudohyperbolic space motions. Turkish J. Math. 39 (2015), no. 5, 750-762. (Reviewer: Erhan Güler) 53A04 (53A25 53B30) MR3374042 Ozturk, Ufuk; Cengiz, Suleyman; Koc Ozturk, Esra Betul Motions of curves in the Galilean space G3. Acta Math. Sci. Ser. B Engl. Ed. 35 (2015), no. 5, 1046-1054. (Reviewer: Erhan Güler) 53A04 (53C44) MR3344725 Masal, Melek; Azak, A. Zeynep Frenet apparatus of the curves and some special curves in the Euclidean 5-space E 5. Eur. J. Pure Appl. Math. 8 (2015), no. 2, 255-270 (Reviewer: Erhan Güler) 53A04 MR3305052 Aydin, Gülşah; Gürbüz, Nevin; Görgülü, Ali; Çöken, A. Ceylan Relaxed elastic lines of second kind in dual space. Int. J. Geom. Methods Mod. Phys. 12 (2015), no. 2, 1550016, 1-12 (Reviewer: Erhan Güler) 53A40 (53A25) MR3299018 Nicolai, Mihaela Roxana; Tiba, Dan Implicit functions and parametrizations in dimension three: generalized solutions. Discrete Contin. Dyn. Syst. 35 (2015), no. 6, 2701-2710. (Reviewer: Erhan Güler) 26B10 (53A05) MR3248642 Abdel-Aziz, H. S.; Khalifa Saad, M.; Abdel-Salam, A. A. On implicit surfaces and their intersection curve in Euclidean 4-space. Houston J. Math. 40 (2014), no. 2, 339-352. (Reviewer: Erhan Güler) 53A04 (53A05) MR3215394 Mihai, Adela; Heroiu, Bogdan Flat tensor product surfaces of pseudo-euclidean curves. Ann. Polon. Math. 111 (2014), no. 2, 137-143. (Reviewer: Erhan Güler) 53C42 (53A04) MR3214310 Pyo, Juncheol; Rodríguez, Magdalena Simply connected minimal surfaces with finite total curvature in H 2 R. Int. Math. Res. Not. IMRN (2014), no. 11, 2944-2954. (Reviewer: Erhan Güler) 53A10 (53C42) others 2017. Academic Project. BAP - Scientific Research Project / 2017-FEN-A-x (accepted) Bartın University, Bartın, Turkey The second Laplace-Beltrami operator on rotational hypersurfaces in the Euclidean 4-space 2016. Academic Project. BAP - Scientific Research Project / 2016-FEN-A-006 Bartın University, Bartın, Turkey Weierstrass representation, degree and classes of the surfaces in the four dimensional Euclidean space 2014. Academic Course TUBITAK. Preparation of the English Academic Publication, Ankara, Turkey 2008-2010. Project Secondary Education, class 9-10-11-12., commission member of the Geometry cirriculum M.E.B. Talim ve Terbiye Kurulu Başkanlığı, Program Araştırma ve Geliştirme Daire Başkanlığı, Ankara, Turkey 2007-2008. Project Secondary Education, commission member of the Mathematics course books reviews M.E.B. Talim ve Terbiye Kurulu Başkanlığı, Eğitim-Öğretim Materyallerini İnceleme ve Geliştirme Başkanlığı, Ankara, Turkey 1999-2000. Army Saimbeyli Askerlik Şubesi Başkanı, Saimbeyli, Adana, Turkey, 12 months 1999. Army Personel Okulu ve Eğitim Tümen Komutanlığı, Dutlukır, Konya, Turkey, 4 months courses undergraduate graduate Faculty of Science Department of Mathematics Faculty of Engineering Differential Geometry 4+0 Calculus (Civil Eng.) 4+0 Maps and Geometries 3+0 Calculus (Met. & Met. Eng.) 4+0 Language of Programming 2+2 Calculus (Env. Eng. & Textile Eng.) 4+0 Mathematical Programming 3+0 Differential Eqs. (Met. & Met. Eng.) 4+0 Final Thesis in Mathematics 2+2 Differential Eqs. (Env. Eng. & Textile Eng.) 4+0 Fundamental Information Tech 3+0 Analysis 4+2 Faculty of Education Abstract Mathematics 2+2 Abstract Algebra 4+0 Department of Biotechnology Calculus 3+0 Department of Statistics Calculus 3+0 Surface design in differential geometry 3+0 Curve design in differential geometry 3+0 12

beauty of simplicity Spacelike maximal B2 (Enneper) surface Timelike minimal B2 (Enneper) surface Spacelike maximal B3 (Bour) surface E. Güler 2012 Timelike minimal B3 (Bour) surface Euclidean catenoid, Alysseide Euclidean helicoid, Heliçoide Lorentzian catenoid Lorentzian helicoid E. Bour 1862 E. Güler 2015 13