Three-manifolds with non-negatively pinched Ricci curvature
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866911535998173184 |
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| author | Lee, Man-Chun Topping, Peter M. |
| author_facet | Lee, Man-Chun Topping, Peter M. |
| contents | We show that every complete non-compact three-manifold with non-negatively pinched Ricci curvature admits a complete Ricci flow solution for all positive time, with scale-invariant curvature decay and preservation of pinching. Combining with recent work of Lott and Deruelle-Schulze-Simon gives a proof of Hamilton's pinching conjecture without additional hypotheses. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2204_00504 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Three-manifolds with non-negatively pinched Ricci curvature Lee, Man-Chun Topping, Peter M. Differential Geometry 53E20, 53C20, 53C21 We show that every complete non-compact three-manifold with non-negatively pinched Ricci curvature admits a complete Ricci flow solution for all positive time, with scale-invariant curvature decay and preservation of pinching. Combining with recent work of Lott and Deruelle-Schulze-Simon gives a proof of Hamilton's pinching conjecture without additional hypotheses. |
| title | Three-manifolds with non-negatively pinched Ricci curvature |
| topic | Differential Geometry 53E20, 53C20, 53C21 |
| url | https://arxiv.org/abs/2204.00504 |