Initial data set rigidity results for polyhedra
| Autor: | Chai, Xiaoxiang, Wan, Xueyuan |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | Using spinors, we show a dihedral type rigidity for polyhedral initial data sets. This rigidity connects spacetime positive mass theorem, dihedral rigidity and capillary marginally trapped surfaces. Our method is to extend the rigidity analysis of spacetime positive mass theorem due to Beig-Chrusciel to the settings of a twisted spinor bundle. Comment: 26 pages, comments welcome; this preprint is separated from a previous paper arXiv:2312.16022 and contains improvements |
| Databáze: | arXiv |
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