<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

Publié en ligne: 17 mai 2013

Pages: 387 - 406

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

Mots clés
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

Publié en ligne: 17 mai 2013

Pages: 387 - 406

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

Mots clésWeingarten spacelike hypersurface, scalar curvature, mean curvature, squared norm of second fundamental form

This content is open access.

Mots clés
Weingarten spacelike hypersurface, scalar curvature, mean curvature, squared norm of second fundamental form