| 完备Riemann流形之共轭点 |
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| 引用本文： | 詹华税.完备Riemann流形之共轭点[J].数学学报,1994,37(3):414-419. |
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| 作者姓名： | 詹华税 |
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| 作者单位： | 厦门水产学院基础部!厦门361021 |
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| 摘 要： | 本文证明了具非负曲率完备Ｒｉｅｍａｎｎ测地线为无共轭点测地线的充要条件；并由此证明了若该流形上的截面含有一无共轭点测地线的切向量，则其对应的截曲率为零．
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| 关 键 词： | 无共轭点测地线 截面 截曲率 |
| 收稿时间： | 1991-11-8 |
| 修稿时间： | 1993-6-24 |
The Conjugate Points in a Complete Riemann Manifold |
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| Zhan Huashui.The Conjugate Points in a Complete Riemann Manifold[J].Acta Mathematica Sinica,1994,37(3):414-419. |
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| Authors: | Zhan Huashui |
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| Institution: | Zhan Huashui (Depart. of Basis Sci., Xiamen Fisheries College Xiamen 361O21, China) |
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| Abstract: | In the paper, We get a necessary and sufficient condition about a geodesic without conjugate points in a complete manifold with nonnegative sectional currature, then we prove that the sectional curvature must be zero if the section contains the tangent of a geodesic without conjugate points. |
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| Keywords: | geodesic without conjugate points sectional curvature section |
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