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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2306.07460 |
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| _version_ | 1866913472576487424 |
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| author | Xu, Guoyi |
| author_facet | Xu, Guoyi |
| contents | On any complete three dimensional Riemannian manifold with a pole and non-negative Ricci curvature, we show that the asymptotic scaling invariant integral of scalar curvature, is equal to a term determined by the asymptotic volume ratio of this Riemannian manifold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_07460 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Integral of scalar curvature on manifolds with a pole Xu, Guoyi Differential Geometry On any complete three dimensional Riemannian manifold with a pole and non-negative Ricci curvature, we show that the asymptotic scaling invariant integral of scalar curvature, is equal to a term determined by the asymptotic volume ratio of this Riemannian manifold. |
| title | Integral of scalar curvature on manifolds with a pole |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2306.07460 |