Routh reduction and the class of magnetic Lagrangian systems

@inproceedings{Langerock2012RouthRA,
  title={Routh reduction and the class of magnetic Lagrangian systems},
  author={Bavo Langerock and Eduardo Garc'ia-Torano Andr'es and Frans Cantrijn},
  year={2012}
}
In this paper, some new aspects related to Routh reduction of Lagrangian systems with symmetry are discussed. The main result of this paper is the introduction of a new concept of transformation that is applicable to systems obtained after Routh reduction of Lagrangian systems with symmetry, so-called magnetic Lagrangian systems. We use these transformations in order to show that, under suitable conditions, the reduction with respect to a (full) semi-direct product group is equivalent to the… CONTINUE READING

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