| Finsler子流形中的陈联络与基本方程 |
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| 引用本文： | 尹松庭. Finsler子流形中的陈联络与基本方程[J]. 数学杂志, 2016, 36(1): 47-54 |
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| 作者姓名： | 尹松庭 |
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| 作者单位： | 铜陵学院数学与计算机系, 安徽 铜陵 244000 |
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| 基金项目： | Supported by Natural Science Foundation of Higher Education in Anhui Province (KJ2014A257). |
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| 摘 要： | 该文研究了Finsler子流形中诱导的两种陈联络.通过利用活动标架法,利用诱导的陈联络D建立了Finsler子流形的基本方程,并给出了D与诱导度量的陈联络∇之间的关系.这些研究完善和充实了已有文献的相关结果.
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| 关 键 词： | Finsler度量 陈联络 基本方程 |
| 收稿时间： | 2013-05-21 |
| 修稿时间： | 2013-11-07 |
CHERN CONNECTION AND FUNDAMENTAL EQUATIONS ON FINSLER SUBMANIFOLDS |
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| YIN Song-ting. CHERN CONNECTION AND FUNDAMENTAL EQUATIONS ON FINSLER SUBMANIFOLDS[J]. Journal of Mathematics, 2016, 36(1): 47-54 |
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| Authors: | YIN Song-ting |
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| Affiliation: | Department of Mathematics and Computer Science, Tongling University, Tongling 244000, China |
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| Abstract: | In this paper, we study the induced Chern connection on Finsler submanifolds. By using moving frame method, we built the fundamental equations with respect to the induced Chern connection D on Finsler submanifolds. Moreover, we also obtain the relation between D and the Chern connection ∇ of the induced Finsler metric, which enrich some known results in relevant literatures. |
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| Keywords: | Finsler metric Chern connection fundamental equations |
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