Alexandrov-Fenchel inequalities for convex anisotropic capillary hypersurfaces in the half-space
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866913929795469312 |
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| author | Gao, Jinyu Li, Guanghan |
| author_facet | Gao, Jinyu Li, Guanghan |
| contents | In this paper, the results of Mei, Wang, Weng and Xia [Math. Z., 2025, MR4911815] on capillary convex bodies are extended to the anisotropic setting. We develop a theory for anisotropic capillary convex bodies in the half-space and establish a general Alexandrov-Fenchel inequality for mixed volumes of anisotropic capillary convex bodies. Thus, this weakens the conditions of the inequality in [Ding-Gao-Li,arXiv:2408.10740, Theorem 1.4] and extends it to a more general case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_04796 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Alexandrov-Fenchel inequalities for convex anisotropic capillary hypersurfaces in the half-space Gao, Jinyu Li, Guanghan Differential Geometry 52A39, 52A40, 53C24, 58J50 In this paper, the results of Mei, Wang, Weng and Xia [Math. Z., 2025, MR4911815] on capillary convex bodies are extended to the anisotropic setting. We develop a theory for anisotropic capillary convex bodies in the half-space and establish a general Alexandrov-Fenchel inequality for mixed volumes of anisotropic capillary convex bodies. Thus, this weakens the conditions of the inequality in [Ding-Gao-Li,arXiv:2408.10740, Theorem 1.4] and extends it to a more general case. |
| title | Alexandrov-Fenchel inequalities for convex anisotropic capillary hypersurfaces in the half-space |
| topic | Differential Geometry 52A39, 52A40, 53C24, 58J50 |
| url | https://arxiv.org/abs/2507.04796 |