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| In this talk we show that the unparametrized trajectories of a Lagrangian system, after a suitable choice of parameter, can be derived from a variational principle involving a 1-homogeneous function. Our approach is based on Routh's reduction procedure. We will also discuss the so-called Mane critical value in this context. This value of the total energy provides a lower bound for the 1-homogeneous function to be in fact a Finsler function. |
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