A sharp geometric inequality for closed hypersurfaces in manifolds with asymptotically nonnegative curvature
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866916117394489344 |
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| author | Rudnik, Adam |
| author_facet | Rudnik, Adam |
| contents | In this work we establish a sharp geometric inequality for closed hypersurfaces in complete noncompact Riemannian manifolds with asymptotically nonnegative curvature using standard comparison methods in Riemannian Geometry. These methods have been applied in a recent work by Xiaodong Wang to greatly simplify the proof of a Willmore-type inequality in complete noncompact Riemannian manifolds of nonnegative Ricci curvature, which was first proved by Agostiniani, Fagagnolo and Mazzieri. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_08245 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A sharp geometric inequality for closed hypersurfaces in manifolds with asymptotically nonnegative curvature Rudnik, Adam Differential Geometry 53C24 (Primary) 53C21 (Secondary) In this work we establish a sharp geometric inequality for closed hypersurfaces in complete noncompact Riemannian manifolds with asymptotically nonnegative curvature using standard comparison methods in Riemannian Geometry. These methods have been applied in a recent work by Xiaodong Wang to greatly simplify the proof of a Willmore-type inequality in complete noncompact Riemannian manifolds of nonnegative Ricci curvature, which was first proved by Agostiniani, Fagagnolo and Mazzieri. |
| title | A sharp geometric inequality for closed hypersurfaces in manifolds with asymptotically nonnegative curvature |
| topic | Differential Geometry 53C24 (Primary) 53C21 (Secondary) |
| url | https://arxiv.org/abs/2310.08245 |