Isoperimetry and the properness of weak inverse mean curvature flow
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866914950291652608 |
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| author | Xu, Kai |
| author_facet | Xu, Kai |
| contents | We prove a new existence theorem for proper solutions of Huisken and Ilmanen's weak inverse mean curvature flow, assuming certain non-degeneracy conditions on the isoperimetric profile. In particular, no curvature assumption is imposed in our existence theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_00725 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Isoperimetry and the properness of weak inverse mean curvature flow Xu, Kai Differential Geometry 53E10, 49Q20 We prove a new existence theorem for proper solutions of Huisken and Ilmanen's weak inverse mean curvature flow, assuming certain non-degeneracy conditions on the isoperimetric profile. In particular, no curvature assumption is imposed in our existence theorem. |
| title | Isoperimetry and the properness of weak inverse mean curvature flow |
| topic | Differential Geometry 53E10, 49Q20 |
| url | https://arxiv.org/abs/2307.00725 |