Yazarlar |
Doç. Dr. Mahmut MAK
Kırşehir Ahi Evran Üniversitesi, Türkiye |
Baki Karlığa
Gazi Üniversitesi, Türkiye |
Özet |
We consider hyperbolic rotation (G 0), hyperbolic translation (G 1), and horocyclic rotation (G 2) groups in H 3, which is called Minkowski model of hyperbolic space. Then, we investigate extrinsic differential geometry of invariant surfaces under subgroups of G 0 in H 3. Also, we give explicit parametrization of these invariant surfaces with respect to constant hyperbolic curvature of profile curves. Finally, we obtain some corollaries for flat and minimal invariant surfaces which are associated with de Sitter and hyperbolic shape operator in H 3. |
Anahtar Kelimeler |
Makale Türü | Özgün Makale |
Makale Alt Türü | SCOPUS dergilerinde yayımlanan tam makale |
Dergi Adı | Journal of Applied Mathematics |
Dergi ISSN | 1110-757X |
Dergi Tarandığı Indeksler | Scopus |
Makale Dili | İngilizce |
Basım Tarihi | 01-2014 |
Cilt No | 2014 |
Sayı | 1 |
Sayfalar | 1 / 12 |
Doi Numarası | 10.1155/2014/838564 |
Makale Linki | http://dx.doi.org/10.1155/2014/838564 |
Atıf Sayıları | |
SCOPUS | 1 |
Google Scholar | 1 |