On constant mean curvature surfaces in the Heisenberg group
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909457060986880 |
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| author | Berdinsky, Dmitry |
| author_facet | Berdinsky, Dmitry |
| contents | We study constant mean curvature surfaces in the three-dimensional Heisenberg group. We prove that a constant mean curvature surface in a neighborhood of non-umbilic point is described by some solution of a sinh-Gordon equation subject to a first order differential constraint. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_08721 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On constant mean curvature surfaces in the Heisenberg group Berdinsky, Dmitry Differential Geometry We study constant mean curvature surfaces in the three-dimensional Heisenberg group. We prove that a constant mean curvature surface in a neighborhood of non-umbilic point is described by some solution of a sinh-Gordon equation subject to a first order differential constraint. |
| title | On constant mean curvature surfaces in the Heisenberg group |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2501.08721 |