Higher order Willmore hypersurfaces in Euclidean space
β Scribed by Zhen Guo
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2008
- Tongue
- English
- Weight
- 197 KB
- Volume
- 25
- Category
- Article
- ISSN
- 1439-7617
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π SIMILAR VOLUMES
We obtain a characterization for a compact and connected hypersurface of R n + 1 to be a sphere in terms of the lower bound on the Ricci curvature.
In this paper, we develop a series of general integral formulae for compact spacelike hypersurfaces with hyperplanar boundary in the (n + 1)-dimensional Minkowski space-time L n+1 . As an application of them, we prove that the only compact spacelike hypersurfaces in L n+1 having constant higher orde
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 β€ l < k β€ n. This exte