✦ LIBER ✦

Remarks on compact spacelike hypersurfaces in de Sitter space with constant higher order mean curvature

✍ Scribed by Luis J. Alı́as; Sung-Eun Koh

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 60 KB
Volume: 39
Category: Article
ISSN: 0393-0440
DOI: 10.1016/s0393-0440(00)00073-5

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✦ Synopsis

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 extends the previous result in [J. Geom. Phys. 31 (1999) 195, Theorem 7].

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