A Heintze-Karcher-type inequality for capillary hypersurfaces in a hyperbolic half-space
In this paper, we establish a Heintze-Karcher-type inequality for compact embedded capillary hypersurfaces in a hyperbolic half-space. The proof is based on a geodesic normal map flow with respect to a Finsler metric of Randers-type induced by a special Zermelo's navigation data. As an application, we obtain an Alexandrov-type theorem for compact embedded capillary hypersurfaces of constant higher-order mean curvature in a hyperbolic half-space.
Authors
- Chao Xia (ORCID: https://orcid.org/0000-0002-3379-3989)
- Yingxiang Hu (ORCID: https://orcid.org/0000-0003-4652-7943)
- Tailong Zhou (ORCID: https://orcid.org/0009-0007-1606-0816)
- Yong Wei (ORCID: https://orcid.org/0000-0002-9460-9217)
Institutions
- University of Science and Technology of China (CN)
- TU Wien (AT)
- Xiamen University (CN)
- Sichuan University (CN)
- Beihang University (CN)
Publication Details
- Journal
- Journal of Functional Analysis
- Published
- 2025-04-02
- DOI
- https://doi.org/10.1016/j.jfa.2025.110970
- Primary Topic
- Advanced Differential Geometry Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China