New Heintze-Karcher type inequalities in sub-static warped product manifolds
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866910915540025344 |
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| author | Li, Haizhong Wei, Yong Xu, Botong |
| author_facet | Li, Haizhong Wei, Yong Xu, Botong |
| contents | In this paper, we prove Heintze-Karcher type inequalities involving the shifted mean curvature for smooth bounded domains in certain sub-static warped product manifolds. In particular, we prove a Heintze-Karcher-type inequality for non mean-convex domains in the hyperbolic space. As applications, we obtain uniqueness results for hypersurfaces satisfying a class of curvature equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_15109 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | New Heintze-Karcher type inequalities in sub-static warped product manifolds Li, Haizhong Wei, Yong Xu, Botong Differential Geometry 53C42, 53C24, 53C21 In this paper, we prove Heintze-Karcher type inequalities involving the shifted mean curvature for smooth bounded domains in certain sub-static warped product manifolds. In particular, we prove a Heintze-Karcher-type inequality for non mean-convex domains in the hyperbolic space. As applications, we obtain uniqueness results for hypersurfaces satisfying a class of curvature equations. |
| title | New Heintze-Karcher type inequalities in sub-static warped product manifolds |
| topic | Differential Geometry 53C42, 53C24, 53C21 |
| url | https://arxiv.org/abs/2504.15109 |