Hyperbolic submanifolds with finite type hyperbolic Gauss map
Yükleniyor...
Dosyalar
Tarih
2015-02
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
World Scientific Publishing Co. Pte Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We study submanifolds of hyperbolic spaces with finite type hyperbolic Gauss map. First, we classify the hyperbolic submanifolds with 1-type hyperbolic Gauss map. Then we prove that a non-totally umbilical hypersurface M-n with nonzero constant mean curvature in a hyperbolic space Hn+1 subset of E-1(n+2) has 2-type hyperbolic Gauss map if and only if M has constant scalar curvature. We also classify surfaces with constant mean curvature in the hyperbolic space H-3 subset of E-1(4) having 2-type hyperbolic Gauss map. Moreover we show that a horohypersphere in Hn+1 subset of E-1(n+2) has biharmonic hyperbolic Gauss map.
Açıklama
Anahtar Kelimeler
Finite type map, Hyperbolic Gauss map, Isoparametric hypersurfaces, Horohypersphere, Biharmonic map, Mean curvature
Kaynak
International Journal of Mathematics
WoS Q Değeri
Q3
Scopus Q Değeri
Q2
Cilt
26
Sayı
2
Künye
Dursun, U. & Yeğin, R. (2015). Hyperbolic submanifolds with finite type hyperbolic gauss map. International Journal of Mathematics, 26(2), 1-18. doi:10.1142/S0129167X15500147
