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De Sitter solutions in higher order gravity

✍ Scribed by Andrew R. Liddle; Felicity Mellor


Publisher
Springer US
Year
1992
Tongue
English
Weight
617 KB
Volume
24
Category
Article
ISSN
0001-7701

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Remarks on compact spacelike hypersurfac
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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