Rotationally symmetric Ricci Flow on $\mathbb{R}^{n+1}$
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | |
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| _version_ | 1866912401224368128 |
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| author | Hsiao, Ming |
| author_facet | Hsiao, Ming |
| contents | We establish a short-time existence theory for complete Ricci flows under scaling-invariant curvature bounds, starting from rotationally symmetric metrics on $\mathbb{R}^{n+1}$ that are noncollapsed at infinity, without assuming bounded curvature. As a consequence, we construct a complete Ricci flow solution coming out of a rotationally symmetric metric, which has a cone-like singularity at the origin and no minimal hypersphere centered at the origin, using an approximation method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_23157 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Rotationally symmetric Ricci Flow on $\mathbb{R}^{n+1}$ Hsiao, Ming Differential Geometry 53E20 We establish a short-time existence theory for complete Ricci flows under scaling-invariant curvature bounds, starting from rotationally symmetric metrics on $\mathbb{R}^{n+1}$ that are noncollapsed at infinity, without assuming bounded curvature. As a consequence, we construct a complete Ricci flow solution coming out of a rotationally symmetric metric, which has a cone-like singularity at the origin and no minimal hypersphere centered at the origin, using an approximation method. |
| title | Rotationally symmetric Ricci Flow on $\mathbb{R}^{n+1}$ |
| topic | Differential Geometry 53E20 |
| url | https://arxiv.org/abs/2505.23157 |