A Simple Ricci Flow Proof of the Uniformization Theorem
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866910575528771584 |
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| author | Ji, Yucheng |
| author_facet | Ji, Yucheng |
| contents | In this note, we provide a very simple proof of the uniformization theorem of Riemann surfaces by Ricci flow. The argument builds on a refinement of Hamilton's isoperimetric estimate for the Ricci flow on the two-sphere. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_01980 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Simple Ricci Flow Proof of the Uniformization Theorem Ji, Yucheng Differential Geometry Complex Variables primary, 53E20, secondary, 30F10 In this note, we provide a very simple proof of the uniformization theorem of Riemann surfaces by Ricci flow. The argument builds on a refinement of Hamilton's isoperimetric estimate for the Ricci flow on the two-sphere. |
| title | A Simple Ricci Flow Proof of the Uniformization Theorem |
| topic | Differential Geometry Complex Variables primary, 53E20, secondary, 30F10 |
| url | https://arxiv.org/abs/2404.01980 |