Open Manifolds with Nonnegative Ricci Curvature and Large Volume Growth  

作　　者：XU Sen-lin SONG Bing-yu 

机构地区：[1]Department of Mathematics, Central China Normal University, Wuhan 430079, China

出　　处：《Chinese Quarterly Journal of Mathematics》2006年第4期475-481,共7页数学季刊（英文版）

基　　金：supported by the NNsF of china(10371047)

摘　　要：in this paper,we prove that a complete n-dimensional Riemannian manifold with nonnegative kth-Ricci curvature, large volume growth has finite topological type provided that lim r→∞{（vol[B（p.r]/ωnrn-αM）rk（n-1）/k＋1（1-α/2）}≤for some COllstant ε〉0 We also prove that a conlplete Riemannian manifold with nonnegative kth-Ricci curvature and undler some pinching conditions is diffeomorphic to R^n.

关 键 词：Excess function large volume growth nonnegative kth-Ricci curvature 

分 类 号：O189.31[理学—数学]