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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2304.04145 |
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| _version_ | 1866914144556417024 |
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| author | Baer, Christian Brendle, Simon Chow, Tsz-Kiu Aaron Hanke, Bernhard |
| author_facet | Baer, Christian Brendle, Simon Chow, Tsz-Kiu Aaron Hanke, Bernhard |
| contents | Our work proves rigidity theorems for initial data sets associated with compact smooth spin manifolds with boundary and with compact convex polytopes, subject to the dominant energy condition. For manifolds with smooth boundary, this is based on the solution of a boundary value problem for Dirac operators. For convex polytopes we use approximations by manifolds with smooth boundary. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_04145 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Rigidity results for initial data sets satisfying the dominant energy condition Baer, Christian Brendle, Simon Chow, Tsz-Kiu Aaron Hanke, Bernhard Differential Geometry Mathematical Physics Analysis of PDEs 53C20, 53C23, 53C24 Our work proves rigidity theorems for initial data sets associated with compact smooth spin manifolds with boundary and with compact convex polytopes, subject to the dominant energy condition. For manifolds with smooth boundary, this is based on the solution of a boundary value problem for Dirac operators. For convex polytopes we use approximations by manifolds with smooth boundary. |
| title | Rigidity results for initial data sets satisfying the dominant energy condition |
| topic | Differential Geometry Mathematical Physics Analysis of PDEs 53C20, 53C23, 53C24 |
| url | https://arxiv.org/abs/2304.04145 |