Heintze-Karcher inequality for anisotropic free boundary hypersurfaces in convex domains
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866913568636534784 |
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| author | Jia, Xiaohan Wang, Guofang Xia, Chao Zhang, Xuwen |
| author_facet | Jia, Xiaohan Wang, Guofang Xia, Chao Zhang, Xuwen |
| contents | In this paper, we prove an optimal Heintze-Karcher-type inequality for anisotropic free boundary hypersurfaces in general convex domains. The equality is achieved for anisotropic free boundary Wulff shapes in a convex cone. As applications, we prove various Alexandrov-type theorems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_01162 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Heintze-Karcher inequality for anisotropic free boundary hypersurfaces in convex domains Jia, Xiaohan Wang, Guofang Xia, Chao Zhang, Xuwen Differential Geometry 53C45, 53A10, 53C42 In this paper, we prove an optimal Heintze-Karcher-type inequality for anisotropic free boundary hypersurfaces in general convex domains. The equality is achieved for anisotropic free boundary Wulff shapes in a convex cone. As applications, we prove various Alexandrov-type theorems. |
| title | Heintze-Karcher inequality for anisotropic free boundary hypersurfaces in convex domains |
| topic | Differential Geometry 53C45, 53A10, 53C42 |
| url | https://arxiv.org/abs/2311.01162 |