Rigidity of spacelike hypersurface with constant curvature and intersection angle condition
| Autor: | Gao, Shanze |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | In the Minkowski space, we consider a spacelike hypersurface with boundary, which can be written as a graph. We prove that, if its $k$-th mean curvature is constant, and its boundary is on a hyperplane with constant intersection angles, then the hypersurface must be a part of the hyperboloid. This result can be seen as an analog of the sphere theorem for the hypersurface of constant $k$-th mean curvature in the Euclidean space. Comment: 9 pages. Comments are welcome |
| Databáze: | arXiv |
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