Geometric inequalities for spacelike hypersurfaces in the Minkowski spacetime
✍ Scribed by Hyoungsick Bahn; Sungpyo Hong
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 56 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0393-0440
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✦ Synopsis
We derive a linear isoperimetric inequality and some geometric inequalities for properly located compact achronal spacelike hypersurfaces via a Minkowski-type integral formula in the Minkowski spacetime.
📜 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
Suppose that 0 0 and 0 1 are convex, open subsets of R N . Denote their convex combination by The Brunn Minkowski inequality says that (vol 0 t ) 1ÂN (1&t) vol 0 1ÂN 0 +t vol 0 1ÂN 1 for 0 t 1. Moreover, if there is equality for some t other than an endpoint, then the domains 0 1 and 0 0 are transl