| 子流形的测地曲率 |
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| 引用本文： | 陈方维,姜德烁. 子流形的测地曲率[J]. 数学物理学报(A辑), 2010, 30(2): 501-508 |
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| 作者姓名： | 陈方维 姜德烁 |
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| 作者单位： | 陈方维,Chen Fangwei(贵州财经学院数学与统计分院,贵阳,550001);姜德烁,Jiang Deshuo(商丘师院教学系,河南商丘,476000) |
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| 基金项目： | 国家自然科学基金，贵州财经学院在读博士基金 |
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| 摘 要： | 该文研究了黎曼齐次空间G/H中子流形M~p和子流形N~q的交M~p∩gN~q的测地曲率,其中g∈G为等距群,并把M~p∩gN~q的第二基本形式表示成M~p和N~q的测地曲率以及它们之间的夹角的组合.
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| 关 键 词： | 第二基本形式 测地曲率 法曲率 |
| 收稿时间： | 2008-03-20 |
| 修稿时间： | 2009-05-08 |
On the Geomdesic Curvature of Submanifolds |
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| CHEN Fang-Wei,JIANG De-Shuo. On the Geomdesic Curvature of Submanifolds[J]. Acta Mathematica Scientia, 2010, 30(2): 501-508 |
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| Authors: | CHEN Fang-Wei JIANG De-Shuo |
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| Affiliation: | 1.Department of Mathematics and Statistics, Guizhou College of Finance and Economics, Guiyang |550004; 2.Department of Mathematics, Shangqiu Normal University, Henan Shangqiu |476000 |
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| Abstract: | In this paper, the authors investigate the second fundamental forms of the intersection M p∩ gN q of submanifolds M p, N q in a Riemannian space G/H for g ∈ G(the group of isometries). As expected, the second fundamental form of M p∩ gN q can be expressed by the curvatures of M p, N q and the angle between M p and gN p. |
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| Keywords: | The second fundamental form Geodesic curvature Normal curvature |
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