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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2309.01333 |
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| _version_ | 1866917696298287104 |
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| author | Batista, Rondinelle Lima, Barnabé Silva, João |
| author_facet | Batista, Rondinelle Lima, Barnabé Silva, João |
| contents | The purpose of this article is study rigidity of free boundary minimal two-disks that locally maximize the modified Hawking mass on a Riemannian three-manifold with positive lower bound on its scalar curvature and mean convex boundary. Assuming the strict stability of Σ, we prove that a neighborhood of it in M is isometric to one of the half de Sitter-Schwarzschild space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_01333 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Rigidity of free boundary minimal disks in mean convex three-manifolds Batista, Rondinelle Lima, Barnabé Silva, João Differential Geometry The purpose of this article is study rigidity of free boundary minimal two-disks that locally maximize the modified Hawking mass on a Riemannian three-manifold with positive lower bound on its scalar curvature and mean convex boundary. Assuming the strict stability of Σ, we prove that a neighborhood of it in M is isometric to one of the half de Sitter-Schwarzschild space. |
| title | Rigidity of free boundary minimal disks in mean convex three-manifolds |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2309.01333 |