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

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.

preprint2016arXivOpen access
Henrique Vitório
math.DG
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Henrique Vitório

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