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Isoperimetric inequalities for submanifolds with bounded mean curvature
| Content Provider | Semantic Scholar |
|---|---|
| Author | Seo, Keomkyo |
| Copyright Year | 2012 |
| Abstract | In this paper, we provide various Sobolev-type inequalities for smooth nonnegative functions with compact support on a submanifold with variable mean curvature in a Riemannian manifold whose sectional curvature is bounded above by a constant. We further obtain the corresponding linear isoperimetric inequalities involving mean curvature. We also provide various first Dirichlet eigenvalue estimates for submanifolds with bounded mean curvature. |
| Starting Page | 525 |
| Ending Page | 542 |
| Page Count | 18 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/s00605-011-0332-2 |
| Volume Number | 166 |
| Alternate Webpage(s) | https://14debc9e-a-62cb3a1a-s-sites.googlegroups.com/site/keomkyo/home/publications/boundedH.pdf?attachauth=ANoY7cozWX152xxriMn8MfLt0A7Z3kBaE4WLgQmf3kzoSyMNEmKJ1z5xWwzIPUn10_tB_eqKB_-STJcXQsZr3Q9ss1DUCvXd51X4fonGhTSYQyp5R9w524Q4rnikssZ7UsOOZ4mpqppiuir1quaAG1m0ibX1aIZCnz2X6ut0rfNwBEqMmcf94yDEohvqMMmWUUnFtQ5wjOhvfGpX1cp7va702ajwtjyomXXNCwwpXCVb_s4SqVreO9s%3D&attredirects=0 |
| Alternate Webpage(s) | https://doi.org/10.1007/s00605-011-0332-2 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |