Acta mathematica scientia,Series B ›› 1996, Vol. 16 ›› Issue (4): 388-392.

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SPECTRUM OF THE LAPLACIAN OF COMPACT MANIFOLDS

Xu Senlin, Chen Chunsheng, Zhang Huaming, Chen Guanghua   

  1. 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.

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

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