arXiv:1601.04951 Abstract | arXiv Analytics

arXiv:1601.04951 [math.DG]Abstract References Reviews Resources

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

Published 2016-01-19Version 1

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.

Categories: math.DG

Subjects: 53C60, 53C22

Keywords: finsler geometry, variations, simple explanation, well-known fact, classical finslerian connections

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