Application of Coupling Method to the First Eigenvalue on Manifold

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：loveyue0414

【摘要】

：

By using a coupling technique,this paper presents some lower bounds of the first eigenvalue of an adjoint operator △+Z on compact M.This method is new and the

【作者】

：

陈木法王凤雨

【机构】

：

DepartmentofMathematics,BeijingNormalUniversity,Beijing100875,PR,PR

【出处】

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中国科学：数学英文版

【发表日期】

：

1994年1期

【关键词】

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COUPLING method RIEMANNIAN MANIFOLD the FIRST EIGENVALUE coupling method Riemann

【基金项目】

：

ProJect supported in part by the National Natural Science Foundation of China,State Eduction Commission of China

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By using a coupling technique,this paper presents some lower bounds of the first eigenvalue of an adjoint operator △+Z on compact M.This method is new and the proofs are straightforward.The method not only achieves the optimal bounds but also improves som

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Application of Coupling Method to the First Eigenvalue on Manifold

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