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arXiv · 1601.04951

On the use of connections in the calculus of variations in Finsler geometry

Henrique Vitório
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Abstract

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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Henrique Vitório. 2016-07-04. On the use of connections in the calculus of variations in Finsler geometry. https://arxiv.org/abs/1601.04951

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