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| 摘要: |
| 本文研究了Finsler流形中的子流形的相关问题.利用文[23,24]中引入的Finsler流形中的切曲率和法曲率的概念,计算出Finsler流形中测地线的一个新的第二变分公式,获得了关于Finsler子流形中几何不变量和拓扑不变量的一些新的关系,推广了文[4]的许多结果. |
| 关键词: 超切曲率 法曲率 第二变分公式 紧致性 |
| DOI： |
| 分类号:O186.16 |
| 基金项目:Supported by Youth Talents Key Foundation of Colleges and Universities of Anhui Province (2012SQRL038ZD); Youth Foundation of AHUT (QZ200918). |
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| THE SECOND VARIATION OF ARC-LENGTH ANDSUBMANIFOLDS IN FINSLER MANIFOLD |
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ZHU Ye-cheng
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| Abstract: |
| In this paper, we study submanifolds in Finsler manifold M. By using tangent curvature and normal curvature, which are introduced in [23,24], we derive a new second variation formula for a geodesic γ in Finsler manifold, and then obtain many relation between geometric invariants and topological invariants of Finsler submanifolds, which are generalizations of the results described in [4]. |
| Key words: sur-tangent curvature normal curvature second variation formula compact |
