Poly-Poisson structures

DOI10.1007/s11005-013-0629-2zbMath1281.53080arXiv1209.4003OpenAlexW2004515162MaRDI QIDQ372947

Juan Carlos Marrero, David Iglesias, Miguel Vaquero

Publication date: 21 October 2013

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.4003

zbMATH Keywords

reductionLie algebroidslinear Poisson structurespoly-Poisson structurespolysymplectic foliationpolysymplectic manifolds

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Poisson manifolds; Poisson groupoids and algebroids (53D17) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

Related Items

Multisymplectic Geometry and Lie Groupoids, Poly-Poisson sigma models and their relational poly-symplectic groupoids, Polysymplectic Souriau Lie group thermodynamics and the geometric structure of its coadjoint orbits, Polysymplectic Souriau Lie group thermodynamics and entropy geometric structure as Casimir invariant function, \(k\)-cosymplectic classical field theories: Tulczyjew and skinner-rusk formulations, Poly-symplectic geometry and the AKSZ formalism, Poly-symplectic groupoids and poly-Poisson structures, Cotangent bundle reduction and Routh reduction for polysymplectic manifolds

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