Lorentz manifolds with homogeneous spacelike cuts
β Scribed by M. A. Ulanovskii
- Publisher
- Springer US
- Year
- 1994
- Tongue
- English
- Weight
- 518 KB
- Volume
- 69
- Category
- Article
- ISSN
- 1573-8795
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π 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
Homgeneous manifolds of nonpositive sectional curvature can be identified with a certain class of solvable Lie groups, We determine, which of these groups also admit metrics with nonpositive curvature operator; this class is smaller, but still contains many examples.