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Some remarks on compact constant mean curvature hypersurfaces in a halfspace of ℍn+1

✍ Scribed by Barbara Nelli; Beate Semmler

Publisher
Springer
Year
1999
Tongue
English
Weight
558 KB
Volume
64
Category
Article
ISSN
0047-2468

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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 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 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