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Hypersurfaces with null higher order mean curvature

✍ Scribed by Hilário Alencar; Márcio Batista

Publisher
Springer
Year
2010
Tongue
English
Weight
144 KB
Volume
41
Category
Article
ISSN
1678-7714

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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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It is shown that a compact spacelike hypersurface which is contained in the chronological future (or past) of an equator of de Sitter space is a totally umbilical round sphere if one of the mean curvatures H l does not vanish and the ratio H k /H l is constant for some k, l, 1 ≤ l < k ≤ n. This exte