Weingarten spacelike hypersurfaces in a de Sitter space

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica

Chen Junfeng¹  Shu Shichang¹ 

[1] School of Mathematics and Information Science, Xianyang Normal University, Xianyang 712000 Shaanxi P.R. China;

关键词: weingarten spacelike hypersurface;    scalar curvature;    mean curvature;    squared norm of second fundamental form;   

DOI  :  10.2478/v10309-012-0026-3

来源: DOAJ

【 摘 要 】

We study some Weingarten spacelike hypersurfaces in a de Sitter space S1n+1 (1). If the Weingarten spacelike hypersurfaces have two distinct principal curvatures, we obtain two classification theorems which give some characterization of the Riemannian product Hk(1−coth2 ϱ)× Sn−k(1 − tanh2 ϱ), 1 < k < n − 1 in S1n+1(1), the hyperbolic cylinder H1(1 − coth2 ϱ) × Sn-1(1 − tanh2 ϱ) or spherical cylinder Hn−1(1 − coth2 ϱ) × S1(1 − tanh2 ϱ) in S1n+1 (1)

【 授权许可】

Unknown