Dirac reduction of dual Poisson-presymplectic pairs

Details Dirac reduction of dual Poisson-presymplectic pairs Dirac reduction of dual Poisson-presymplectic pairs

2004-03-31

arxiv.org/abs/nlin/0403057v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

to appear in Journal of Physics A: Mathematical and General

Scientific paper

10.1088/0305-4470/37/19/005

A new notion of a dual Poisson-presymplectic pair is introduced and its properties are examined. The procedure of Dirac reduction of Poisson operators onto submanifolds proposed by Dirac is in this paper embedded in a geometric procedure of reduction of dual Poisson-presymplectic pairs. The method presented generalizes those used by Marsden and Ratiu for reductions of Poisson manifolds. Two examples are given.

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