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Complete spacelike hypersurfaces with constant mean curvature in anti-de Sitter space

✍ Scribed by Biaogui Yang; Ximin Liu

Book ID
107377945
Publisher
Higher Education Press and Springer
Year
2009
Tongue
English
Weight
144 KB
Volume
4
Category
Article
ISSN
1673-3452

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πŸ“œ SIMILAR VOLUMES

Remarks on compact spacelike hypersurfac
Remarks on compact spacelike hypersurfaces in de Sitter space with constant higher order mean curvature
✍ Luis J. Alı́as; Sung-Eun Koh πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 60 KB

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