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Entire spacelike hypersurfaces of constant mean curvature in Minkowski Space

โœ Scribed by Andrejs E. Treibergs


Publisher
Springer-Verlag
Year
1982
Tongue
English
Weight
732 KB
Volume
66
Category
Article
ISSN
0020-9910

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In this paper, we develop a series of general integral formulae for compact spacelike hypersurfaces with hyperplanar boundary in the (n + 1)-dimensional Minkowski space-time L n+1 . As an application of them, we prove that the only compact spacelike hypersurfaces in L n+1 having constant higher orde

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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