Lagrangian Mechanics and Reduction on Fibered Manifolds

@article{Li2017LagrangianMA,
  title={Lagrangian Mechanics and Reduction on Fibered Manifolds},
  author={Songhao Li and Ari Stern and Xiang Tang},
  journal={Symmetry Integrability and Geometry-methods and Applications},
  year={2017},
  volume={13},
  pages={019}
}
This paper develops a generalized formulation of Lagrangian mechanics on fibered manifolds, together with a reduction theory for symmetries corresponding to Lie groupoid actions. As special cases, this theory includes not only Lagrangian reduction (including reduction by stages) for Lie group actions, but also classical Routh reduction, which we show is naturally posed in this fibered setting. Along the way, we also develop some new results for Lagrangian mechanics on Lie algebroids, most… Expand
2 Citations
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