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
Addendum to “Spacelike hypersurfaces with constant higher order mean curvature in the Minkowski space–time”
✍ Scribed by Juan A. Aledo; Luis J. Alı́as; J. Miguel Malacarne; José A. Pastor
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 37 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0393-0440
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We study compact spacelike hypersurfaces (necessarily with non-empty boundary) with constant mean curvature in the (n + 1)-dimensional Lorentz-Minkowski space. In particular, when the boundary is a round sphere we prove that the only such hypersurfaces are the hyperplanar round balls (with zero mean
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