开流形的曲率与拓扑  

Open manifolds with nonnegative Ricci curvature and large volume growth

作　　者：李凌[1] 宋冰玉[2] 

机构地区：[1]海军工程大学理学院,430033 [2]华中师范大学数学与统计学学院,武汉430079

出　　处：《海军工程大学学报》2007年第4期106-110,共5页Journal of Naval University of Engineering

基　　金：海军工程大学科学研究基金资助项目(HGDJJ06003)

摘　　要：应用比较几何的方法研究了完备非紧且具有特定曲率条件的黎曼流形,证明了在一定Pinching条件限制下,流形具有有限拓扑型或者微分同胚于Rn。This paper deals with the relation between the curvature and the topology of some Rieman nian manifolds. And discusses complete noncompact open Riemannian manifolds with special curva ture conditions via comparisonal geometry methods. The result proves that with some Pinching condi tions has finite topological type or even diffeomorphic to the Euclid Space.

关 键 词：微分同胚 有限拓扑型 Excess函数 大体积增长 

分 类 号：O186.16[理学—数学]