An $ε$-regularity theorem for Perelman's reduced volume
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866929724033335296 |
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| author | Cheng, Liang Zhang, Yongjia |
| author_facet | Cheng, Liang Zhang, Yongjia |
| contents | In this article, we prove an $ε$-regularity theorem for Perelman's reduced volume. We show that on a Ricci flow, if Perelman's reduced volume is close to $1$, then the curvature radius at the base point cannot be too small. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_15219 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An $ε$-regularity theorem for Perelman's reduced volume Cheng, Liang Zhang, Yongjia Differential Geometry In this article, we prove an $ε$-regularity theorem for Perelman's reduced volume. We show that on a Ricci flow, if Perelman's reduced volume is close to $1$, then the curvature radius at the base point cannot be too small. |
| title | An $ε$-regularity theorem for Perelman's reduced volume |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2502.15219 |