Abstract
We make use of a symmetry reduction technique called Routh reduction to show that the solutions of the Euler–Lagrange equations of a strongly convex autonomous Lagrangian which lie on a specific energy level can be thought of as geodesics of an associated Finsler function.
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Mestdag, T. Finsler Geodesics of Lagrangian Systems Through Routh Reduction. Mediterr. J. Math. 13, 825–839 (2016). https://doi.org/10.1007/s00009-014-0505-z
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DOI: https://doi.org/10.1007/s00009-014-0505-z