Open Manifolds with Nonnegative Ricci Curvature and Large Volume Growth
Open Manifolds with Nonnegative Ricci Curvature and Large Volume Growth作者机构：Department of Mathematics Central China Normal University Wuhan 430079 China
出 版 物：《Chinese Quarterly Journal of Mathematics》 (数学季刊（英文版）)
年 卷 期：2006年第21卷第4期
页 面：475-481页
核心收录：
学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学]
基 金：supported by the NNsF of china(10371047)
主 题：Excess function large volume growth nonnegative kth-Ricci curvature
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.
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