<abstract xmlns="http://www.w3.org/1999/xhtml"> 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 &lt; k &lt; 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)</abstract>

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)

Weingarten spacelike hypersurfaces in a de Sitter space

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

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

{"article-title":"Weingarten spacelike hypersurfaces in a de Sitter space"}

We study some Weingarten spacelike hypersurfaces in a de Sitter space S1n+1 (1). If the Weingarten spacelike hypersurfaces have two distinct principal...

Weingarten spacelike hypersurfaces in a de Sitter space

Publicado en línea: 17 may 2013

Páginas: 387 - 406

DOI: https://doi.org/10.2478/v10309-012-0026-3

Palabras clave
Weingarten spacelike hypersurface, scalar curvature, mean curvature, squared norm of second fundamental form

This content is open access.

Weingarten spacelike hypersurfaces in a de Sitter space

Publicado en línea: 17 may 2013

Páginas: 387 - 406

DOI: https://doi.org/10.2478/v10309-012-0026-3

Palabras claveWeingarten spacelike hypersurface, scalar curvature, mean curvature, squared norm of second fundamental form

This content is open access.

Palabras clave
Weingarten spacelike hypersurface, scalar curvature, mean curvature, squared norm of second fundamental form