曲阜师范大学学报(自然科学版)
麯阜師範大學學報(自然科學版)
곡부사범대학학보(자연과학판)
JOURNAL OF QUFU NORMAL UNIVERSITY (NATURAL SCIENCE EDITION)
2011年
2期
1-6,24
,共7页
基本群%极点%径向Ricci曲率%万有覆盖
基本群%極點%徑嚮Ricci麯率%萬有覆蓋
기본군%겁점%경향Ricci곡솔%만유복개
Fundamental group%pole%radical Ricci curvature%universal covering
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.
流形的拓撲和麯率有著密切的聯繫,本文中,討論瞭具有部分非負Ricci麯率的流形的拓撲併得到瞭其基本群增長的估計.
류형적탁복화곡솔유착밀절적련계,본문중,토론료구유부분비부Ricci곡솔적류형적탁복병득도료기기본군증장적고계.
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.