This paper builds on the initial work of Marsden and Scheurle on non- abelian Routh reduction. The main objective is to carry out the reduction of varia- tional principles in further detail. In particular, we obtain reduced variational principles which are the symplectic analogue of the well-known reduced variational principles for the Euler-Poincare equations and the Lagrange-Poincare equations. On the Lagrangian side, the symplectic analogue is obtained by suitably imposing The constraints of preservation of the momentum map.
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