| 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 |
| DOI： |
| 分类号:O186.6 |
| 基金项目:Supported by National Natural Science Foundation of China(10871149) |
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| THE GENERALIZED LAPLACE COMPARISON THEOREM IN FINSLER SPACES AND ITS APPLICATIONS |
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SONG Bing-yu
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SONG Bing-yu (School of Mathematics and Statistics,Huazhong Normal University,Wuhan 430079,China)
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| 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. |
| Key words: Laplace operator comparison theorem the first eigenvalue Finsler manifold |
