A Minkowski type inequality in warped cylinders
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909317118033920 |
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| author | Pan, Shujing Yang, Bo |
| author_facet | Pan, Shujing Yang, Bo |
| contents | We prove a Minkowski type inequality for weakly mean convex and star-shaped hypersurfaces in warped cylinders which are asymptotically flat or hyperbolic. In particular, we show that this sharp inequality holds for outward minimizing hypersurfaces in the Schwarzschild manifold or the hyperbolic space using the weak solution of the inverse mean curvature flow. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_13670 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Minkowski type inequality in warped cylinders Pan, Shujing Yang, Bo Differential Geometry Analysis of PDEs 52A40, 53C21, 53C42 We prove a Minkowski type inequality for weakly mean convex and star-shaped hypersurfaces in warped cylinders which are asymptotically flat or hyperbolic. In particular, we show that this sharp inequality holds for outward minimizing hypersurfaces in the Schwarzschild manifold or the hyperbolic space using the weak solution of the inverse mean curvature flow. |
| title | A Minkowski type inequality in warped cylinders |
| topic | Differential Geometry Analysis of PDEs 52A40, 53C21, 53C42 |
| url | https://arxiv.org/abs/2404.13670 |