The First Eigenvalue of a Compact Manifold  

作　　者：ZHAODi YANGJian-an 

机构地区：[1]DepartmentofMathematics,BeihangUniversity,Beijing100083,China

出　　处：《Chinese Quarterly Journal of Mathematics》2005年第2期200-205,共6页数学季刊（英文版）

基　　金：Supported by the NNSF of China(10271011)Supported by LIMB of the Ministry of Education China

摘　　要：This paper discusses the first eigenvalue on a compact Riemann manifold with the negative lower bound Ricci curvature. Let M be a compact Riemann manifold with the Ricci curvature≥-R, R=const. ≥0 and d is the diameter of M. Our main result is that the first eigenvalue λ1 of M satisfies λ1≥π^2/d^2-0.518R.

关 键 词：Ricci curvature first eigenvalue 

分 类 号：O186.12[理学—数学] O189.31[理学—基础数学]