| 具非负曲率的黎曼流形 |
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| 引用本文： | 詹华税,梁益兴.具非负曲率的黎曼流形[J].厦门大学学报(自然科学版),1993,32(6):693-696. |
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| 作者姓名： | 詹华税 梁益兴 |
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| 作者单位： | 厦门水产学院基础部
(詹华税)，厦门大学数学系(梁益兴) |
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| 摘 要： | 利用沿测地线的Ｊａｃｏｂｉ场和指标形式，证明了具非负曲率的完备２维黎曼流形Ｍ＾２如果没有共轭点，必等距于Ｒ＾２。
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| 关 键 词： | 共轭点 非负曲率 黎曼流形 |
On Riemannian Manifolds with Nonnegative Curvature |
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| Zhan Huashui Liang Yixing.On Riemannian Manifolds with Nonnegative Curvature[J].Journal of Xiamen University(Natural Science),1993,32(6):693-696. |
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| Authors: | Zhan Huashui Liang Yixing |
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| Abstract: | By using Jacobi field and index form, the author prives that a complete Riemannian manifold M2 of dimension 2 with nonnegative curvature must be isometric to R2, if M2 has no conjugate point. |
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| Keywords: | Conjugate point Jacobi field Index form Nonnegative curvature |
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