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Spacelike hypersurfaces in de Sitter space

✍ Scribed by Hua-Dong Pang; Sen-Lin Xu; Shu Dai


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
53 KB
Volume
42
Category
Article
ISSN
0393-0440

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✦ Synopsis


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.


πŸ“œ SIMILAR VOLUMES


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To each immersed complete space-like hypersurface M with constant normalized scalar curvature R in the de Sitter space S n+1 1 , we associate sup H 2 , where H is the mean curvature of M. It is proved that the condition sup H 2 ≀ C n ( R), where R = (R -1) > 0 and C n ( R) is a constant depending on