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On the Ricci Curvature of Compact Spacelike Hypersurfaces in de Sitter Space

✍ Scribed by Luis J. Alías

Book ID
110220488
Publisher
Springer
Year
1999
Tongue
English
Weight
50 KB
Volume
77
Category
Article
ISSN
0046-5755

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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