Invariant Surfaces under Hyperbolic Translations in Hyperbolic Space
Yazarlar (2)
Doç. Dr. Mahmut MAK
Kırşehir Ahi Evran Üniversitesi, Türkiye
Gazi Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(SCOPUS dergilerinde yayınlanan tam makale)
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| Dergi Adı | Journal of Applied Mathematics | ||
| Dergi ISSN | 1110-757X Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | Scopus | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2014 |
| Cilt / Sayı / Sayfa | 2014 / 1 / 1–12 | DOI | 10.1155/2014/838564 |
| Makale Linki | http://dx.doi.org/10.1155/2014/838564 | ||
| 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. |
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| Atıf Sayıları | |
| SCOPUS | 1 |
| Google Scholar | 1 |