On submanifolds of pseudo-hyperbolic space with 1-type pseudo-hyperbolic gauss map

Yükleniyor...
Küçük Resim

Tarih

2016

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

B. I. Verkin Institute for Low Temperature Physics and Engineering

Erişim Hakkı

info:eu-repo/semantics/openAccess

Araştırma projeleri

Organizasyon Birimleri

Dergi sayısı

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