SPECTRUM OF THE LAPLACIAN OF COMPACT MANIFOLDS

数学物理学报(英文版) ›› 1996, Vol. 16 ›› Issue (4): 388-392.

SPECTRUM OF THE LAPLACIAN OF COMPACT MANIFOLDS

徐森林, 陈春生, 张华明, 陈广华

Dept. of Math., Univ. of Set. & Tech. of China, Hefei 230026, China

收稿日期:1994-05-25 修回日期:1995-04-04 出版日期:1996-12-25 发布日期:1996-12-25
基金资助:
Project Supported by the National Natural Science Foundation of China.

SPECTRUM OF THE LAPLACIAN OF COMPACT MANIFOLDS

Xu Senlin, Chen Chunsheng, Zhang Huaming, Chen Guanghua

Dept. of Math., Univ. of Set. & Tech. of China, Hefei 230026, China

Received:1994-05-25 Revised:1995-04-04 Online:1996-12-25 Published:1996-12-25
Supported by:
Project Supported by the National Natural Science Foundation of China.

摘要/Abstract

摘要： This paper is concerning with the estimate of the first eigenvalue of hyper surface embedded in a compact manifolds with positive Ricci curvature.It leads to an upper bound of area of compact Riemannian surface embedded in S³. Secondly,spectral isomorphic problem is discussed.

关键词: Ricci curvature, Laplacian, spectrum, isometric

Abstract: This paper is concerning with the estimate of the first eigenvalue of hyper surface embedded in a compact manifolds with positive Ricci curvature.It leads to an upper bound of area of compact Riemannian surface embedded in S³. Secondly,spectral isomorphic problem is discussed.

Key words: Ricci curvature, Laplacian, spectrum, isometric

徐森林, 陈春生, 张华明, 陈广华. SPECTRUM OF THE LAPLACIAN OF COMPACT MANIFOLDS[J]. 数学物理学报(英文版), 1996, 16(4): 388-392.

Xu Senlin, Chen Chunsheng, Zhang Huaming, Chen Guanghua. SPECTRUM OF THE LAPLACIAN OF COMPACT MANIFOLDS[J]. Acta mathematica scientia,Series B, 1996, 16(4): 388-392.

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SPECTRUM OF THE LAPLACIAN OF COMPACT MANIFOLDS

SPECTRUM OF THE LAPLACIAN OF COMPACT MANIFOLDS

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