Complete CMC hypersurfaces in Minkowski (n+1)-space
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2019
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| _version_ | 1866910664369373184 |
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| author | Bonsante, Francesco Seppi, Andrea Smillie, Peter |
| author_facet | Bonsante, Francesco Seppi, Andrea Smillie, Peter |
| contents | We prove that any regular domain in Minkowski space is uniquely foliated by spacelike constant mean curvature (CMC) hypersurfaces. This completes the classification of entire spacelike CMC hypersurfaces in Minkowski space initiated by Choi and Treibergs. As an application, we prove that any entire surface of constant Gaussian curvature in 2+1 dimensions is isometric to a straight convex domain in the hyperbolic plane. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1912_05477 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Complete CMC hypersurfaces in Minkowski (n+1)-space Bonsante, Francesco Seppi, Andrea Smillie, Peter Differential Geometry General Relativity and Quantum Cosmology Geometric Topology We prove that any regular domain in Minkowski space is uniquely foliated by spacelike constant mean curvature (CMC) hypersurfaces. This completes the classification of entire spacelike CMC hypersurfaces in Minkowski space initiated by Choi and Treibergs. As an application, we prove that any entire surface of constant Gaussian curvature in 2+1 dimensions is isometric to a straight convex domain in the hyperbolic plane. |
| title | Complete CMC hypersurfaces in Minkowski (n+1)-space |
| topic | Differential Geometry General Relativity and Quantum Cosmology Geometric Topology |
| url | https://arxiv.org/abs/1912.05477 |