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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.00607 |
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| _version_ | 1866929195851972608 |
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| author | Kotschwar, Brett |
| author_facet | Kotschwar, Brett |
| contents | We prove that a complete solution to the Ricci flow on $M\times [-T, 0)$ which has quadratic curvature decay on some end of $M$ and converges locally smoothly to the end of a cone on that neighborhood as $t\nearrow 0$ must be a gradient shrinking soliton. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_00607 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Ricci flows which terminate in cones Kotschwar, Brett Differential Geometry 53E20, 35K40 We prove that a complete solution to the Ricci flow on $M\times [-T, 0)$ which has quadratic curvature decay on some end of $M$ and converges locally smoothly to the end of a cone on that neighborhood as $t\nearrow 0$ must be a gradient shrinking soliton. |
| title | Ricci flows which terminate in cones |
| topic | Differential Geometry 53E20, 35K40 |
| url | https://arxiv.org/abs/2401.00607 |