具有部分非负Ricci曲率流形上的基本群的增长(英文)  

Growth of the Fundamental Group of Manifolds with Partially Nonnegative Ricci Curvature

作　　者：王培合[1] 吕文娟[2] 蔡永明[3] 

机构地区：[1]曲阜师范大学数学科学学院 [2]曲阜师范大学档案馆,山东省曲阜市273165 [3]沂水县第三中学数学组,山东省沂水县276400

出　　处：《曲阜师范大学学报（自然科学版）》2011年第2期1-6,24,共7页Journal of Qufu Normal University(Natural Science)

基　　金：Supportedby the NSF of Shandong Province(No.Q2008A08);the Youth Foundation of QFNU

摘　　要：流形的拓扑和曲率有着密切的联系,本文中,讨论了具有部分非负Ricci曲率的流形的拓扑并得到了其基本群增长的估计.As well known,the topology and the curvature on a manifold have a very close relationship.In the paper stated here,the topology of a manifold with partially nonnegative Ricci curvature is considered and the estimate of the growth of its fundamental group is obtained.

关 键 词：基本群 极点 径向Ricci曲率 万有覆盖 

分 类 号：O186.1[理学—数学]