22 citations · 91 across the 9 of their papers we have counts for
9 papers
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…
Hilbert forms for a Finsler metrizable projective class of sprays
M. Crampin, T. Mestdag, D. J. Saunders
The projective Finsler metrizability problem deals with the question whether a projective-equivalence class of sprays is the geodesic class of a (locally or globally defined) Finsl…
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…
Involutive distributions and dynamical systems of second-order type
T. Mestdag, M. Crampin
We investigate the existence of coordinate transformations which bring a given vector field on a manifold equipped with an involutive distribution into the form of a second-order d…
The Cartan form for constrained Lagrangian systems and the nonholonomic Noether theorem
M. Crampin, T. Mestdag
This paper deals with conservation laws for mechanical systems with nonholonomic constraints. It uses a Lagrangian formulation of nonholonomic systems and a Cartan form approach. W…
Anholonomic frames in constrained dynamics
M. Crampin, T. Mestdag
We demonstrate the usefulness of anholonomic frames in the contexts of nonholonomic and vakonomic systems. We take a consistently differential-geometric approach. As an application…