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| A NOTE ON THE NULLITY OF HOMOTOPY GROUP FOR COMPLETE THREE DIMENSIONAL MANIFOLDS WITH RICCI ≧ 0 |
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Citation： |
Lin Junmin.A NOTE ON THE NULLITY OF HOMOTOPY GROUP FOR COMPLETE THREE DIMENSIONAL MANIFOLDS WITH RICCI ≧ 0[J].Chinese Annals of Mathematics B,1998,19(2):153~156 |
| Page view： 921
Net amount： 652 |
Authors： |
Lin Junmin; |
Foundation： |
Project supported by the National Natural Science
Foundation of China. |
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| Abstract： |
This note shows the nullity of homotopy groups for
complete three dimensional manifolds with Ricci$\ge 0$ under some growth condition
of the geodesic ball. The author also gives some examples which show the growth
condition here is optimal in some sense. |
Keywords： |
Homotopy group, Ricci curvature, Three dimensional manifolds |
Classification： |
53C42, 55Q05 |
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