Some Characterizations Of Surfaces Generated by Two Curves In Heis3
Abstract
In this paper, some characterizations of surfaces which are constructed by using the group operation in are given. Then, a new classification for minimal factorable surfaces in is obtained.
Keywords
References
- Bekkar, M., Senoussi, B., Factorable surfaces in the three-dimensional Euclidean and Lorentzian spaces satisfying , J. Geom., 103 (2012), 17--29.
- Carmo, M.P, Differential Geometry of Curves and Surfaces, Pearson Education, 1976.
- Inoguchi, J. , López, R., Munteanu, M. , Minimal Translation Surfaces in the Heisenberg group Geom Dedicata, 161 (2012), 221-231.
- López, R. , Munteanu, M., Minimal translation surfaces in arxiv:1010.1085v1 (2010).
- Meng, H. , Liu, H., Factorable Surfaces in 3- Minkowski Space, Bull. Korean Math. Soc., 46 (2009), 155-169.
- Oprea, J., Differential Geometry and Its Applications, New Jersey, 1997.
- Turhan, E., Altay, G., Maximal and Minimal Surfaces of Factorable Surfaces in Int. J. Open Problems Compt. Math., 3 (2010), 200-212.
- Turhan, E., Körp nar, T., Characterize On The Heisenberg Group With Left Invariant Lorentzian Metric, Demonstratio Mathematica, 2 (2009), 425-430.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Authors
Gülden Altay Suroğlu
FIRAT ÜNİVERSİTESİ
Türkiye
Publication Date
December 1, 2018
Submission Date
September 27, 2017
Acceptance Date
January 12, 2018
Published in Issue
Year 2018 Volume: 22 Number: 6