| A NOTE ON THE NULLITY OF HOMOTOPY GROUP FOR COMPLETE THREE DIMENSIONAL MANIFOLDS WITH RICCI ≧ 0 |
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| 作者姓名： | Lin Junmin |
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| 摘 要： | This note shows the nullity of homotopy groups for complete three dimensional manifoldswith Ricci≥ 0 under some growth condition of the geodesic ball. The author also gives someexamples which show the growth condition here is optimal in some sense.
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| 关 键 词： | 同伦群 赖奇曲率 三维流形 非紧黎曼流形 |
A NOTE ON THE NULLITY OF
HOMOTOPY GROUP FOR COMPLETE THREE DIMENSIONAL MANIFOLDS WITH RICCI$\ge0$ |
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| Lin Junmin.A NOTE ON THE NULLITY OF
HOMOTOPY GROUP FOR COMPLETE THREE DIMENSIONAL MANIFOLDS WITH RICCI$\ge0$[J].Chinese Annals of Mathematics,Series B,1998,19(2):153-156. |
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| Authors: | Lin Junmin |
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| Institution: | InstituteofMathematics,FudanUniversity,Shanghai200433,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. |
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| Keywords: | Homotopy group Ricci curvature Three dimensional manifolds |
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