Small Excess and the Topology of Open Manifolds with Ricci Curvature Negatively Lower Bounded  

作　　者：XU Sen-lin HU Zi-sheng 

机构地区：[1]School of Mathematics and Statistics, Huazhong Normal University, Wuhan 430079, China

出　　处：《Chinese Quarterly Journal of Mathematics》2007年第1期16-21,共6页数学季刊（英文版）

基　　金：Supported by the National Natural Science Foundation of China(10371047)

摘　　要：In this paper, we study the relation between the excess of open manifolds and their topology by using the methods of comparison geometry. We prove that a complete open Riemmannian manifold with Ricci curvature negatively lower bounded is of finite topological type provided that the conjugate radius is bounded from below by a positive constant and its Excess is bounded by some function of its conjugate radius, which improves some results in [4].

关 键 词：open manifolds Ricci curvature conjugate radius critical point Excess function triangle comparison theorems 

分 类 号：O186.16[理学—数学]