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Paper detail

Poly-Poisson structures

In this paper we introduce poly-Poisson structures as a higher-order extension of Poisson structures. It is shown that any poly-Poisson structure is endowed with a polysymplectic foliation. It is also proved that if a Lie group acts polysymplectically on a polysymplectic manifold then, under certain regularity conditions, the reduced space is a poly-Poisson manifold. In addition, some interesting examples of poly-Poisson manifolds are discussed.

preprint2012arXivOpen access
D. Iglesias-PonteJ. C. MarreroM. Vaquero
math.SGmath-phmath.MPmath.DG
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D. Iglesias-PonteJ. C. MarreroM. Vaquero

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