Finsler geodesics of Lagrangian systems through Routh reduction
Differential Geometry
2016-10-31 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1412.3526,
title = {Finsler geodesics of Lagrangian systems through Routh reduction},
author = {T. Mestdag},
journal= {arXiv preprint arXiv:1412.3526},
year = {2016}
}
Comments
Accepted for publ. in Mediterranean Journal of Mathematics