| Finsler流形上的Laplace比较定理和有界估计(英文) |
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| 引用本文： | 宋冰玉.Finsler流形上的Laplace比较定理和有界估计(英文)[J].数学杂志,2010,30(3). |
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| 作者姓名： | 宋冰玉 |
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| 作者单位： | 华中师范大学数学与统计学学院,湖北,武汉,430079 |
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| 摘 要： | 本文研究了Finsler流形上的距离函数的Laplacian.利用指标引理和文献4]中主要方法,获得了Ricci曲率有函数下界的Laplacian比较定理,改进了文献6]和文献7]的相关结果.
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| 关 键 词： | Laplace算子 比较定理 第一特征值 Finsler流形 |
LAPLACE COMPARISON THEOREM AND BOUND ESTIMATE OF EIGENVALUE IN FINSLER MANIFOLD |
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| SONG Bing-yu.LAPLACE COMPARISON THEOREM AND BOUND ESTIMATE OF EIGENVALUE IN FINSLER MANIFOLD[J].Journal of Mathematics,2010,30(3). |
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| Authors: | SONG Bing-yu |
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| Institution: | SONG Bing-yu (School of Mathematics , Statistics,Huazhong Normal University,Wuhan 430079,China) |
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| Abstract: | In this article,we study the Laplacian of distance function.By using the basic index lemma and the key methods of Chen4],we obtain Laplacian comparison theorem in Finsler manifold under Ricci curvature with function negative lower bound,which respectively improve and generalize the related results of Cheng6]and P.Li7]in Riemannian geometry. |
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| Keywords: | Laplace operator comparison theorem the first eigenvalue Finsler manifold |
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