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Invariant Surfaces under Hyperbolic Translations in Hyperbolic Space      
Yazarlar
Dr. Öğr. Üyesi 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
Sayfalar 1 / 12
Doi Numarası 10.1155/2014/838564
Makale Linki http://dx.doi.org/10.1155/2014/838564