Some Characterizations Of Surfaces Generated by Two Curves In Heis 3

In this paper, some characterizations of surfaces which are constructed by using the group operation in 3 Heis are given. Then, a new classification for minimal factorable surfaces in 3 Heis is obtained.

Heis 3 de İki Eğri Tarafından Üretilen Yüzeylerin Bazı Karakterizasyonları

Bu makalede, 3- boyutlu Heisenberg grubunda, grup çarpımıyla elde edilen yüzeylerin bazı karakterizasyonları incelendi. Daha sonra, 3- boyutlu Heisenberg grubunda minimal factorable yüzeylerin yeni bir sınıflandırması elde edildi..

___

E. Turhan, G. Altay, Maximal and Minimal Surfaces of Factorable Surfaces in , 3 Heis Int. J. Open Problems Compt. Math., vol. 3, no.2, pp. 200-212, 2010.

J. Inoguchi, R. López, M. Munteanu, Minimal Translation Surfaces in the Heisenberg group , 3 Nil Geom Dedicata, vol. 161, no. 1., pp. 221-231, 2012.

M. P. Carmo, Differential Geometry of Curves and Surfaces, Boston, 1976.

R. López, M. Munteanu, Minimal translation surfaces in , 3 Sol arxiv:1010.1085v1, 2010.

Y. Yu, H. Liu, The factorable minimal surfaces, Proceedings of The Eleventh International Workshop on Diff. Geom. vol. 11, pp. 33-39, 2007.

J. Oprea, Differential Geometry and Its Applications, New Jersey, 1997.

E. Turhan, T. Körpınar, Minimal Immersion and Harmonic Maps in Heisenberg Group ?2?+1, Int. J. Open Problems Compt. Math., vol. 3, no. 4, pp. 490-496, 2010.

M. Bekkar, B. Senoussi, Factorable surfaces in the three-dimensional Euclidean and Lorentzian spaces satisfying i i i r =  r , Journal of Geometry, vol. 103, no. 1, pp. 17-29, 2012.

H. Meng, H. Liu, Factorable Surfaces in 3- Minkowski Space, Bull. Korean Math. Soc., vol. 46, no. 1, pp. 155-169, 2009.