Finsler geodesics of Lagrangian systems through Routh reduction

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.

arXiv commentAccepted for publ. in Mediterranean Journal of Mathematics

References in corpus (3)

• Routh's procedure for non-Abelian symmetry groups
• The multiplier approach to the projective Finsler metrizability problem
• Routh reduction and the class of magnetic Lagrangian systems

Cited by in corpus (2)

• On the Jacobi metric for a general Lagrangian system
• Electromagnetic and gravitational interactions from Lagrangian mechanics