具非负Ricci曲率和大体积增长的完备流形的拓扑(英文)  

The topology of complete manifolds with nonnegative Ricci curvature and large volume growth

作　　者：毛 显[1] 侯晓阳[1] 

机构地区：[1]华中师范大学数学与统计学学院,湖北武汉430079

出　　处：《周口师范学院学报》2006年第5期1-3,51,共4页Journal of Zhoukou Normal University

摘　　要：研究了具非负Ricci曲率和大体积增长的完备Riemannian流形,证明了在其他一些条件的假设下,这种流形具有有限拓扑型且有有限生成基本群,而且在Ricci曲率严格正的条件下,这种流形是正常的.In this paper, we study complete open n-manifolds with nonnegative Ricci curvature and large volume growth. We prove such a manifold to be of finite topological type under some other conditions. We also prove such a manifold has a finitely generated fundamental group. Furthermore, it is proper, provided the Ricci curvature is strictly positive.

关 键 词：非负RICCI曲率 大体积增长 基本群 正常流形 

分 类 号：O186.16[理学—数学]