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| ON THE FUNDAMENTAL GROUP OF OPEN MANIFOLDS WITH NONNEGATIVE RICCI CURVATURE |
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Citation： |
XU Senlin,WANG Zuoqin,YANG Fangyun.ON THE FUNDAMENTAL GROUP OF OPEN MANIFOLDS WITH NONNEGATIVE RICCI CURVATURE[J].Chinese Annals of Mathematics B,2003,24(4):469~474 |
| Page view： 1431
Net amount： 974 |
Authors： |
XU Senlin; WANG Zuoqin;YANG Fangyun |
Foundation： |
Project supported by the National Natural Science Foundation of China (No.19971081). |
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| Abstract： |
The authors establish some uniform estimates for the distance to halfway points of minimal
geodesics in terms of the distantce to end points on some types of Riemannian manifolds, and
then prove some theorems about the finite generation of fundamental group of Riemannian
manifold with nonnegative Ricci curvature, which support the famous Milnor conjecture. |
Keywords： |
Excess function, Finitely generated fundamental group, Ray denisity, Ricci
curvature |
Classification： |
53C20 |
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