A positive mass theorem for non-smooth metrics on asymptotically flat manifolds with non-compact boundary
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866916810856595456 |
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| author | Almaraz, Sergio Wang, Shaodong |
| author_facet | Almaraz, Sergio Wang, Shaodong |
| contents | On a smooth asymptotically flat Riemannian manifold with non-compact boundary, we prove a positive mass theorem for metrics which are only continuous across a compact hypersurface. As an application, we obtain a positive mass theorem on manifolds with non-compact corners. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_20453 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A positive mass theorem for non-smooth metrics on asymptotically flat manifolds with non-compact boundary Almaraz, Sergio Wang, Shaodong Differential Geometry On a smooth asymptotically flat Riemannian manifold with non-compact boundary, we prove a positive mass theorem for metrics which are only continuous across a compact hypersurface. As an application, we obtain a positive mass theorem on manifolds with non-compact corners. |
| title | A positive mass theorem for non-smooth metrics on asymptotically flat manifolds with non-compact boundary |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2506.20453 |