The Michael-Simon-Sobolev inequality on manifolds for positive symmetric tensor fields
| Autor: | Wu, Yuting, Yi, Chengyang, Zheng, Yu |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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]. Comment: 12 pages |
| Databáze: | arXiv |
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