๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On space-like hypersurfaces in the de Sitter space

โœ Scribed by Yongfan Zheng

Publisher
Springer
Year
1995
Tongue
English
Weight
174 KB
Volume
13
Category
Article
ISSN
0232-704X

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Spacelike hypersurfaces in de Sitter spa
Spacelike hypersurfaces in de Sitter space
โœ Hua-Dong Pang; Sen-Lin Xu; Shu Dai ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 53 KB

In this paper, we give one intrinsic inequality for spacelike hypersurfaces in de Sitter space and a sufficient and necessary condition for such hypersurfaces to be totally geodesic.

Space-like submanifolds in the de Sitter
Space-like submanifolds in the de Sitter spaces
โœ Liu Ximin ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 66 KB

In this paper, by using Cheng-Yau's self-adjoint operator แฎ€, we study the space-like submanifolds in the de Sitter spaces and obtain some general rigidity results.

Curvature properties of compact spacelik
Curvature properties of compact spacelike hypersurfaces in de Sitter space
โœ Juan A. Aledo; Luis J. Alฤฑฬas ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 87 KB

In this paper we establish a sufficient condition for a compact spacelike hypersurface in de Sitter space to be spherical in terms of a lower bound for the square of its mean curvature. Our result will be a consequence of the maximum principle for the Laplacian operator. We also derive some other ap