On submanifolds of pseudo-hyperbolic space with 1-type pseudo-hyperbolic gauss map
Yükleniyor...
Dosyalar
Tarih
2016
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
B. I. Verkin Institute for Low Temperature Physics and Engineering
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we examine pseudo-Riemannian submanifolds of a pseudo-hyperbolic space ?m-1 s (-1) ? Em s+1 with finite type pseudo-hyperbolic Gauss map. We begin by providing a characterization of pseudo-Riemannian sub- manifolds in ?m-1 s (-1) with 1-type pseudo-hyperbolic Gauss map, and we obtain the classification of maximal surfaces in ?m-1 2 (-1) ? Em 3 with 1-type pseudo-hyperbolic Gauss map. Then we investigate the submanifolds of ?m-1 s (-1) with 1-type pseudo-hyperbolic Gauss map containing nonzero constant component in its spectral decomposition.
Açıklama
Anahtar Kelimeler
Finite type map, Lorentzian hypersurfaces, Pseudo-hyperbolic gauss map, Pseudo-riemannian submanifolds, Surface, Gauss map, Constant vector, Surfaces
Kaynak
Journal of Mathematical Physics, Analysis, Geometry
WoS Q Değeri
Q4
Scopus Q Değeri
Q3
Cilt
12
Sayı
4
Künye
Yeğin, R. & Dursun, U. (2016). On submanifolds of pseudo-hyperbolic space with 1-type pseudo-hyperbolic gauss map. Journal of Mathematical Physics, Analysis, Geometry, 12(4), 315-337. doi:10.15407/mag12.04.315