Backward Uniqueness of Extrinsic Geometric Flow in general ambient manifolds
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915711663734784 |
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| author | Li, Dasong Ma, John Man Shun |
| author_facet | Li, Dasong Ma, John Man Shun |
| contents | In this paper we prove two backward uniqueness theorems for extrinsic geometric flow of possibly non-compact hypersurfaces in general ambient complete Riemannian manifolds. These are applicable to a wide range of extrinsic geometric flow, including the mean curvature flow, inverse mean curvature flow, Gauss curvature flow and so on. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_22904 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Backward Uniqueness of Extrinsic Geometric Flow in general ambient manifolds Li, Dasong Ma, John Man Shun Differential Geometry 53C44 In this paper we prove two backward uniqueness theorems for extrinsic geometric flow of possibly non-compact hypersurfaces in general ambient complete Riemannian manifolds. These are applicable to a wide range of extrinsic geometric flow, including the mean curvature flow, inverse mean curvature flow, Gauss curvature flow and so on. |
| title | Backward Uniqueness of Extrinsic Geometric Flow in general ambient manifolds |
| topic | Differential Geometry 53C44 |
| url | https://arxiv.org/abs/2410.22904 |