Mass-capacity inequality modeled on conformally flat manifolds
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915622521143296 |
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| author | Bi, Yuchen Zhu, Jintian |
| author_facet | Bi, Yuchen Zhu, Jintian |
| contents | In the spin case, we can establish a mass-capacity inequality for generalized asymptotically flat manifolds $(M,g,E)$ with nonnegative scalar curvature, where the equality implies that $(M,g)$ is harmonically conformal to $\mathbb R^n\setminus S$ for a closed bounded subset $S$ of $\mathbb R^n$ with Hausdorff dimension no greater than $\frac{n-2}{2}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_13215 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Mass-capacity inequality modeled on conformally flat manifolds Bi, Yuchen Zhu, Jintian Differential Geometry In the spin case, we can establish a mass-capacity inequality for generalized asymptotically flat manifolds $(M,g,E)$ with nonnegative scalar curvature, where the equality implies that $(M,g)$ is harmonically conformal to $\mathbb R^n\setminus S$ for a closed bounded subset $S$ of $\mathbb R^n$ with Hausdorff dimension no greater than $\frac{n-2}{2}$. |
| title | Mass-capacity inequality modeled on conformally flat manifolds |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2511.13215 |