The Michael-Simon-Sobolev inequality on manifolds for positive symmetric tensor fields
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909314391736320 |
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| author | Wu, Yuting Yi, Chengyang Zheng, Yu |
| author_facet | Wu, Yuting Yi, Chengyang Zheng, Yu |
| contents | We prove the Michael-Simon-Sobolev inequality for smooth symmetric uniformly positive definite (0, 2)-tensor fields on compact submanifolds with or without boundary in Riemannian manifolds with nonnegative sectional curvature by the Alexandrov-Bakelman-Pucci (ABP) method. It should be a generalization of S. Brendle in [2]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_08011 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Michael-Simon-Sobolev inequality on manifolds for positive symmetric tensor fields Wu, Yuting Yi, Chengyang Zheng, Yu Differential Geometry We prove the Michael-Simon-Sobolev inequality for smooth symmetric uniformly positive definite (0, 2)-tensor fields on compact submanifolds with or without boundary in Riemannian manifolds with nonnegative sectional curvature by the Alexandrov-Bakelman-Pucci (ABP) method. It should be a generalization of S. Brendle in [2]. |
| title | The Michael-Simon-Sobolev inequality on manifolds for positive symmetric tensor fields |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2409.08011 |