Chinese Quarterly Journal of Mathematics ›› 1993, Vol. 8 ›› Issue (2): 40-49.

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Lower Bound of the First Eigenvalue for the Laplace Operator on Compact Riemannian Manifold

  


  1. Dpt. of Mathematics Jiaozuo Mining Institute Henan China 454159,Dpt . of Mathematics Jiaozuo Mining Institute Henan China 454159
  • Received:1991-05-30 Online:1993-06-30 Published:2025-06-09
  • Supported by:
    This research is supported by the Youth Science Foundation of Henan Province,China

Abstract: Let M be a compact m-dimensional Riemannian manifold, let d denote, its diameter, -R(R>O) the lower bound of the Ricci curvature, and λ1 the first eigerivalue for the Laplacian on M. Then there exists a constant ... .

Key words: Laplac Operator, Riemannuan Manifold, Ricoi Curvature, Lower.Bomd, Diameter, Eigcnvalue