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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2020
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2012.00956 |
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| _version_ | 1866913801339666432 |
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| author | Aiex, Nicolau S. Hong, Han |
| author_facet | Aiex, Nicolau S. Hong, Han |
| contents | We prove that the space of free boundary CMC surfaces of bounded topology, bounded area and bounded boundary length is compact in the $C^k$ graphical sense away from a finite set of points. This is a CMC version of a result for minimal surfaces by Fraser-Li \cite{fraser.a-li.m2014}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2012_00956 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Compactness of the Space of Free Boundary CMC Surfaces with Bounded Topology Aiex, Nicolau S. Hong, Han Differential Geometry We prove that the space of free boundary CMC surfaces of bounded topology, bounded area and bounded boundary length is compact in the $C^k$ graphical sense away from a finite set of points. This is a CMC version of a result for minimal surfaces by Fraser-Li \cite{fraser.a-li.m2014}. |
| title | Compactness of the Space of Free Boundary CMC Surfaces with Bounded Topology |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2012.00956 |