Dirac reduction of dual Poisson-presymplectic pairs
Exactly Solvable and Integrable Systems
2009-11-10 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.nlin/0403057,
title = {Dirac reduction of dual Poisson-presymplectic pairs},
author = {Maciej Blaszak and Krzysztof Marciniak},
journal= {arXiv preprint arXiv:nlin/0403057},
year = {2009}
}
Comments
to appear in Journal of Physics A: Mathematical and General