22 citations · 37 across the 7 of their papers we have counts for
4 papers · 1 filter
Un-Reduction of Systems of Second-Order Ordinary Differential Equations
Eduardo García-Toraño Andrés, Tom Mestdag
In this paper we consider an alternative approach to "un-reduction". This is the process where one associates to a Lagrangian system on a manifold a dynamical system on a principal…
Finsler geodesics of Lagrangian systems through Routh reduction
T. Mestdag
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…
A class of Finsler surfaces whose geodesics are circles
M. Crampin, T. Mestdag
We determine all Finsler metrics of Randers type for which the Riemannian part is a scalar multiple of the Euclidean metric, on an open subset of the Euclidean plane, whose geodesi…
The multiplier approach to the projective Finsler metrizability problem
M. Crampin, T. Mestdag, D. J. Saunders
This paper is concerned with the problem of determining whether a projective-equivalence class of sprays is the geodesic class of a Finsler function. We address both the local and…