REDUCTION OF PRESYMPLECTIC MANIFOLDS WITH SYMMETRY

@article{quez1999REDUCTIONOP,
  title={REDUCTION OF PRESYMPLECTIC MANIFOLDS WITH SYMMETRY},
  author={A. Echeverr'i a-Enr'i quez and Miguel C. Mu{\~n}oz-Lecanda and Narciso Rom'an-Roy},
  journal={Reviews in Mathematical Physics},
  year={1999},
  volume={11},
  pages={1209-1247}
}
Actions of Lie groups on presymplectic manifolds are analyzed, introducing the suitable comomentum and momentum maps. The subsequent theory of reduction of presymplectic dynamical systems with symmetry is studied. In this way, we give a method of reduction which enables us to remove gauge symmetries as well as non-gauge "rigid" symmetries at once. This method is compared with other step-by-step reduction procedures. As particular examples in this framework, we discuss the reduction of time… Expand
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