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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.08867 |
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| _version_ | 1866913609307652096 |
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| author | Chen, Qun Qiu, Hongbing |
| author_facet | Chen, Qun Qiu, Hongbing |
| contents | By carrying out a point-wise estimate for the second fundamental form, we prove a rigidity theorem of complete noncompact ancient solutions to the mean curvature flow in codimension one. Moreover, we derive an optimal growth condition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_08867 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A rigidity theorem of ancient solutions to the mean curvature flow in codimension one Chen, Qun Qiu, Hongbing Differential Geometry By carrying out a point-wise estimate for the second fundamental form, we prove a rigidity theorem of complete noncompact ancient solutions to the mean curvature flow in codimension one. Moreover, we derive an optimal growth condition. |
| title | A rigidity theorem of ancient solutions to the mean curvature flow in codimension one |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2412.08867 |