| Finsler流形上Laplace比较定理及其应用 |
| |
| 引用本文： | 宋冰玉. Finsler流形上Laplace比较定理及其应用[J]. 数学杂志, 2011, 31(2): 197-204 |
| |
| 作者姓名： | 宋冰玉 |
| |
| 作者单位： | 华中师范人学数学与统计学学院,湖北,武汉,430079 |
| |
| 基金项目： | Supported by National Natural Science Foundation of China(10871149) |
| |
| 摘 要： | 本文研究了Finsler流形上距离函数的Laplacian.利用Schwarz不等式和[5]中主要方法,获得了具有负曲率的Laplacian比较定理,进而得到了Finsler流形上第一特征值的下界估计.
|
| 关 键 词： | Laplace算子 比较定理 第一特征值 Finsler流形 |
THE GENERALIZED LAPLACE COMPARISON THEOREM IN FINSLER SPACES AND ITS APPLICATIONS |
| |
| SONG Bing-yu. THE GENERALIZED LAPLACE COMPARISON THEOREM IN FINSLER SPACES AND ITS APPLICATIONS[J]. Journal of Mathematics, 2011, 31(2): 197-204 |
| |
| Authors: | SONG Bing-yu |
| |
| Affiliation: | SONG Bing-yu (School of Mathematics and Statistics,Huazhong Normal University,Wuhan 430079,China) |
| |
| Abstract: | In this article,we study the Laplacian of distance function.By using Schwarz inequality and the key methods of[5],we obtain Laplacian comparison theorem in Finsler manifold of negative curvature.As its applications,one can get the lower bound estimates for the first eigenvalue in Finsler spaces. |
| |
| Keywords: | Laplace operator comparison theorem the first eigenvalue Finsler manifold |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《数学杂志》浏览原始摘要信息 |
|
点击此处可从《数学杂志》下载全文 |
