A Conformal Positive Mass Theorem with Noncompact Boundary
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908690313904128 |
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| author | Freire, Alex Islam, Mohammad Tariquel |
| author_facet | Freire, Alex Islam, Mohammad Tariquel |
| contents | We obtain an integral inequality for asymptotically linear harmonic functions on asymptotically flat 3-manifolds with noncompact boundary, which implies positivity of a convex combination of ADM masses of two conformally related metrics under a positivity condition on a corresponding convex combination of their scalar curvatures and boundary mean curvatures. This generalizes a result of Batista and Lopes de Lima, under conditions that do not assume positivity of scalar curvature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_03212 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Conformal Positive Mass Theorem with Noncompact Boundary Freire, Alex Islam, Mohammad Tariquel Differential Geometry We obtain an integral inequality for asymptotically linear harmonic functions on asymptotically flat 3-manifolds with noncompact boundary, which implies positivity of a convex combination of ADM masses of two conformally related metrics under a positivity condition on a corresponding convex combination of their scalar curvatures and boundary mean curvatures. This generalizes a result of Batista and Lopes de Lima, under conditions that do not assume positivity of scalar curvature. |
| title | A Conformal Positive Mass Theorem with Noncompact Boundary |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2512.03212 |