| 关于流形及其子流形的两类曲率关系 |
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| 引用本文： | 许飞,张迪,曹贻鹏,王素云.关于流形及其子流形的两类曲率关系[J].装甲兵工程学院学报,2011,25(3):100-102. |
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| 作者姓名： | 许飞 张迪 曹贻鹏 王素云 |
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| 作者单位： | 1. 装甲兵工程学院基础部,北京,100072
2. 装甲兵工程学院控制工程系,北京,100072 |
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| 摘 要： | 将Riemann子流形理论推广到Finsler子流形中,并且根据子流形诱导的联络和本身联络不同的特点,利用Chern联络计算了流形及其子流形的Landsberg曲率和S曲率关系,为子流形的进一步研究提供了便利。
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| 关 键 词： | Cartan挠率 Chern联络 Finsler度量 Landsberg曲率 S曲率 |
Relation of Two Kinds of Curvatures on Manifolds and Submanifolds |
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| XU Fei,ZHANG Di,CAO Yi-peng,WANG Su-yun.Relation of Two Kinds of Curvatures on Manifolds and Submanifolds[J].Journal of Armored Force Engineering Institute,2011,25(3):100-102. |
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| Authors: | XU Fei ZHANG Di CAO Yi-peng WANG Su-yun |
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| Institution: | XU Fei1,ZHANG Di2,CAO Yi-peng1,WANG Su-yun1(1.Department of Fundamental Courses,Academy of Armored Force Engineering,Beijing 100072,China,2.Department of Control Engineering,China) |
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| Abstract: | In this paper,submanifold theory of Riemann is generalized to submanifold of Finsler.According to the differences between induction connection and nature connection of submanifold,the relation between landsberg curvature and S curvature on manifold and submanifold is deduced by using the Chern connection,providing basis for the further research of submanifolds. |
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| Keywords: | Cartan torsion Chern connection Finsler measurement Landsberg curvature S curvature |
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