A classification result for eternal mean convex flows of finite total curvature type
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866912965215649792 |
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| author | Mramor, Alexander |
| author_facet | Mramor, Alexander |
| contents | In this article we partially classify the space of eternal mean convex flows in $\mathbb{R}^3$ of finite total curvature type, a condition implied by finite total curvature. In particular we show that topologically nonplanar ones must flow out of a catenoid in a natural sense. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_12020 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A classification result for eternal mean convex flows of finite total curvature type Mramor, Alexander Differential Geometry In this article we partially classify the space of eternal mean convex flows in $\mathbb{R}^3$ of finite total curvature type, a condition implied by finite total curvature. In particular we show that topologically nonplanar ones must flow out of a catenoid in a natural sense. |
| title | A classification result for eternal mean convex flows of finite total curvature type |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2403.12020 |