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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. |
| 关键词: Finsler度量 陈联络 基本方程 |
| DOI： |
| 分类号:O186.12 |
| 基金项目:Supported by Natural Science Foundation of Higher Education in Anhui Province (KJ2014A257). |
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| CHERN CONNECTION AND FUNDAMENTAL EQUATIONS ON FINSLER SUBMANIFOLDS |
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YIN Song-ting
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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. |
| Key words: Finsler metric Chern connection fundamental equations |
