Lagrangian Reduction by Stages

@inproceedings{Cendra2009LagrangianRB,
  title={Lagrangian Reduction by Stages},
  author={Hern{\'a}n Cendra and Jerrold E. Marsden and Tudor S. Ratiu},
  year={2009}
}
This booklet studies the geometry of the reduction of Lagrangian systems with symmetry in a way that allows the reduction process to be repeated; that is, it develops a context for Lagrangian reduction by stages. The Lagrangian reduction procedure focuses on the geometry of variational structures and how to reduce them to quotient spaces under group actions. This philosophy is well known for the classical cases, such as Routh reduction for systems with cyclic variables (where the symmetry group… CONTINUE READING
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