The Ricci-DeTurck flow on complete manifolds
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866917359387672576 |
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| author | Cai, Jing-Bin Wang, Bing |
| author_facet | Cai, Jing-Bin Wang, Bing |
| contents | Based on the framework of Koch-Lamm and tensor heat kernel estimates, we obtain a uniform proof of the short-time existence, uniqueness, and continuous dependence for Ricci flows starting from a complete Riemannian metric with bounded curvature. A new ingredient is an effective continuous dependence estimate without the assumption of injectivity radius lower bound. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_22834 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Ricci-DeTurck flow on complete manifolds Cai, Jing-Bin Wang, Bing Differential Geometry 53C44 (Primary), 35K55, 58J35 (Secondary) Based on the framework of Koch-Lamm and tensor heat kernel estimates, we obtain a uniform proof of the short-time existence, uniqueness, and continuous dependence for Ricci flows starting from a complete Riemannian metric with bounded curvature. A new ingredient is an effective continuous dependence estimate without the assumption of injectivity radius lower bound. |
| title | The Ricci-DeTurck flow on complete manifolds |
| topic | Differential Geometry 53C44 (Primary), 35K55, 58J35 (Secondary) |
| url | https://arxiv.org/abs/2603.22834 |