On the convexity of spacelike hypersurfaces with nonpositive curvature
β Scribed by Steven G. Harris; Katsumi Nomizu
- Publisher
- Springer
- Year
- 1983
- Tongue
- English
- Weight
- 145 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0046-5755
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π SIMILAR VOLUMES
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
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 β€ l < k β€ n. This exte