Quantitative Stability for Yamabe minimizers on manifolds with boundary
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866912272240082944 |
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| author | Borquez, Benjamín Caju, Rayssa Bosch, Hanne Van Den |
| author_facet | Borquez, Benjamín Caju, Rayssa Bosch, Hanne Van Den |
| contents | This paper addresses the quantitative stability for a Yamabe-type functional on compact manifolds with boundary introduced by Escobar. Minimizers of the functional correspond to scalar-flat metrics with constant mean curvature on the boundary. We prove that the deficit controls the distance to the minimizing set to a suitable power by reducing the problem to the analogous question for an effective functional on the boundary. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_09801 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantitative Stability for Yamabe minimizers on manifolds with boundary Borquez, Benjamín Caju, Rayssa Bosch, Hanne Van Den Differential Geometry 53A10 This paper addresses the quantitative stability for a Yamabe-type functional on compact manifolds with boundary introduced by Escobar. Minimizers of the functional correspond to scalar-flat metrics with constant mean curvature on the boundary. We prove that the deficit controls the distance to the minimizing set to a suitable power by reducing the problem to the analogous question for an effective functional on the boundary. |
| title | Quantitative Stability for Yamabe minimizers on manifolds with boundary |
| topic | Differential Geometry 53A10 |
| url | https://arxiv.org/abs/2503.09801 |