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| 小负曲率流形上Laplace算子第一特征值的下界估计 | |
| 引用本文： | 王培合,沈纯理. 小负曲率流形上Laplace算子第一特征值的下界估计[J]. 数学年刊A辑(中文版), 2004, 0(3) |
| 作者姓名： | 王培合 沈纯理 |
| 作者单位： | 曲阜师范大学数学科学院，华东师范大学数学系 山东 曲阜 273165 华东师范大学数学系，上海 200062，上海 200062 |
| 基金项目： | 国家自然科学基金(No.10371039)，上海市重点学科基金，山东省重点学科基金资助的项目 |
| 摘 要： | 本文首先对流形的测地球上的Sobolev常数进行讨论,并利用它进行Moser迭代,最终得到具有小负曲率的闭的黎曼流形上Laplace算子特征值的一个下界估计. |
| 关 键 词： | 小负曲率流形 第一特征值 Sobolev常数 |
A LOWER BOUND ESTIMATE OF THE FIRST EIGENVALUE OF THE LAPLACIAN ON RIEMANIAN MANIFOLDS WITH A LITTLE NEGATIVE CURVATURE |
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| WANG Peihe SHEN Chunli College of Mathematics,Qufu Normal University,Qufu ,Shandong,China. A LOWER BOUND ESTIMATE OF THE FIRST EIGENVALUE OF THE LAPLACIAN ON RIEMANIAN MANIFOLDS WITH A LITTLE NEGATIVE CURVATURE[J]. Chinese Annals of Mathematics, 2004, 0(3) | |
| Authors: | WANG Peihe SHEN Chunli College of Mathematics Qufu Normal University Qufu Shandong China |
| Affiliation: | WANG Peihe SHEN Chunli College of Mathematics,Qufu Normal University,Qufu 273165,Shandong,China.Department of Mathematics,East China Normal University,Shanghai 200062,China. |
| Abstract: | Firstly, the paper stated here discussed the Sobolev constant on the geodesic ball of a manifold, then Moser iteration can be adopted and finally the authors can get a lower bound of the first eigenvalue of the Laplacian on Riemannian manifolds with a little negative curvature. |
| Keywords: | Riemannian manifolds with a little negative curvature The first eigenvalue of the Laplacian Sobolev constant |
| 本文献已被 CNKI 等数据库收录！ | |