Sharp integral bound of scalar curvature on $3$-manifolds
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866909611343216640 |
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| author | Munteanu, Ovidiu Wang, Jiaping |
| author_facet | Munteanu, Ovidiu Wang, Jiaping |
| contents | It is shown that the integral of the scalar curvature on a geodesic ball of radius $R$ in a three-dimensional complete manifold with nonnegative Ricci curvature is bounded above by $8πR$ asymptotically for large $R$ provided that the scalar curvature is bounded between two positive constants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_10520 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sharp integral bound of scalar curvature on $3$-manifolds Munteanu, Ovidiu Wang, Jiaping Differential Geometry It is shown that the integral of the scalar curvature on a geodesic ball of radius $R$ in a three-dimensional complete manifold with nonnegative Ricci curvature is bounded above by $8πR$ asymptotically for large $R$ provided that the scalar curvature is bounded between two positive constants. |
| title | Sharp integral bound of scalar curvature on $3$-manifolds |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2505.10520 |