A Unified Approach to the Theory of Connections in Finsler Geometry

被引：0
|
作者：
Henrique Vitório
机构：
[1] Universidade Federal de Pernambuco,Departamento de Matemática
[2] Cidade Universitária,undefined
来源：
Bulletin of the Brazilian Mathematical Society, New Series | 2017年 / 48卷
关键词：
Finsler metrics; Sprays; Linear connections; Family of affine connections; Second variation of energy functional; Primary 53C60; 53C22;
D O I：
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中图分类号：
学科分类号：
摘要：
We propose a unified approach to the theory of connections in the geometry of sprays and Finsler metrics which, in particular, gives a simple explanation of the well-known fact that all the classical Finslerian connections provide exactly the same formulas appearing in the calculus of variations.
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页码：317 / 333
页数：16
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