|
|||||
|
|
Spectral gap estimates on compact manifolds |
|
| Authors: | Kevin Oden Chiung-Jue Sung Jiaping Wang |
| Institution: | Department of Mathematics, Harvard University, Cambridge, Massachusetts 02138 Chiung-Jue Sung ; Department of Mathematics, National Chung Cheng University, Taiwan ; Department of Mathematics, Stanford University, Stanford, California 94305 |
| Abstract: | For a compact Riemannian manifold with boundary, its mass gap is the difference between the first and second smallest Dirichlet eigenvalues. In this paper, taking a variational approach, we obtain an explicit lower bound estimate of the mass gap for any compact manifold in terms of geometric quantities. |
| Keywords: | |
| 点击此处可从《Transactions of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Transactions of the American Mathematical Society》下载免费的PDF全文 | |