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Space-like hypersurfaces with constant scalar curvature in the de Sitter spaces

โœ Scribed by Zheng Yongfan


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
241 KB
Volume
6
Category
Article
ISSN
0926-2245

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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 โ‰ค C n ( R), where R = (R -1) > 0 and C n ( R) is a constant depending on

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We study compact spacelike hypersurfaces (necessarily with non-empty boundary) with constant mean curvature in the (n + 1)-dimensional Lorentz-Minkowski space. In particular, when the boundary is a round sphere we prove that the only such hypersurfaces are the hyperplanar round balls (with zero mean

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