32 citations · 37 across the 3 of their papers we have counts for
3 papers
math.DG2008★ 32 cited
Routh's procedure for non-Abelian symmetry groups
M. Crampin, T. Mestdag
We extend Routh's reduction procedure to an arbitrary Lagrangian system (that is, one whose Lagrangian is not necessarily the difference of kinetic and potential energies) with a s…
math.DG2008★ 5 cited
The inverse problem for invariant Lagrangians on a Lie group
M. Crampin, T. Mestdag
We discuss the problem of the existence of a regular invariant Lagrangian for a given system of invariant second-order differential equations on a Lie group , using approaches b…
math.DG2007
The fundamental form of a homogeneous Lagrangian in two independent variables
D. J. Saunders, M. Crampin
We construct, for a homogeneous Lagrangian of arbitrary order in two independent variables, a differential 2-form with the property that it is closed precisely when the Lagrangian…