Quantitative Alexandrov theorem for capillary hypersurfaces in the half-space
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910820681646080 |
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| author | Jia, Xiaohan Zhang, Xuwen |
| author_facet | Jia, Xiaohan Zhang, Xuwen |
| contents | In this paper, we prove the quantitative version of the Alexandrov theorem for capillary hypersurfaces in the half-space, which generalizes Julin-Niinikoski's result to the capillary case. The proof is based on the quantitative analysis of the Montiel-Ros-type argument carried out in our joint works with Wang-Xia. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_06597 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantitative Alexandrov theorem for capillary hypersurfaces in the half-space Jia, Xiaohan Zhang, Xuwen Differential Geometry 53C45, 53A10 In this paper, we prove the quantitative version of the Alexandrov theorem for capillary hypersurfaces in the half-space, which generalizes Julin-Niinikoski's result to the capillary case. The proof is based on the quantitative analysis of the Montiel-Ros-type argument carried out in our joint works with Wang-Xia. |
| title | Quantitative Alexandrov theorem for capillary hypersurfaces in the half-space |
| topic | Differential Geometry 53C45, 53A10 |
| url | https://arxiv.org/abs/2403.06597 |