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arXiv · nlin/0403057

Dirac reduction of dual Poisson-presymplectic pairs

Maciej Blaszak·Krzysztof Marciniak
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Abstract

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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Maciej Blaszak, Krzysztof Marciniak. 2004-03-31. Dirac reduction of dual Poisson-presymplectic pairs. https://doi.org/10.1088/0305-4470%2F37%2F19%2F005

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