| 完备黎曼流形上的Jacobi场 |
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| 引用本文： | 梁益兴,詹华税.完备黎曼流形上的Jacobi场[J].厦门大学学报(自然科学版),1996,35(1):26-29. |
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| 作者姓名： | 梁益兴 詹华税 |
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| 作者单位： | 厦门大学数学系，厦门水产学院 |
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| 摘 要： | 证明了在具非负曲率完备黎曼流形上，沿无共轭点测地线的正常平行向量场必为Ｊａ－ｃｏｂｉ场．
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| 关 键 词： | 无共轭点测地线，Jacobi场，非负曲率 |
The Jacobi Fields on a Complete Riemannian Manifold |
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| Liang Yixing, Zhan Huashui.The Jacobi Fields on a Complete Riemannian Manifold[J].Journal of Xiamen University(Natural Science),1996,35(1):26-29. |
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| Authors: | Liang Yixing Zhan Huashui |
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| Institution: | Liang Yixing; Zhan Huashui(Dept. of Math. Xiamen Univ. ) (Xiamen Fisheries Coll. ) |
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| Abstract: | In this paper the authors prove that, in a complete Riemannian manifold with nonnegative curvature, a normal parallel field on a geodesic without conjugate points is a Jacobi field. |
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| Keywords: | Geodesic without conjugate points Jacobi field Nonnegative curvature |
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