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..
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 in3 Heis are given. Then, a new classification for minimal factorable surfaces in 3 Heis is obtained.
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- 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.