Reduction of a symplectic-like Lie algebroid with momentum map and its application to fiberwise linear Poisson structures

DOI10.1088/1751-8113/45/16/165201zbMath1261.53079arXiv1111.4696OpenAlexW2093394010MaRDI QIDQ2888583

Miguel Rodríguez-Olmos, Edith Padrón, Juan Carlos Marrero

Publication date: 1 June 2012

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.4696

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Poisson manifolds; Poisson groupoids and algebroids (53D17) Momentum maps; symplectic reduction (53D20) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

Related Items (12)

Second-order constrained variational problems on Lie algebroids: applications to optimal control ⋮ Left-symmetric bialgebroids and their corresponding Manin triples ⋮ Reduction of pre-Hamiltonian actions ⋮ Hamiltonian facets of classical gauge theories on E-manifolds ⋮ Reduction theory for singular symplectic manifolds and singular forms on moduli spaces ⋮ Euler-Lagrange-Herglotz equations on Lie algebroids ⋮ Dirac actions and Lu's Lie algebroid ⋮ Poisson geometry from a Dirac perspective ⋮ Pre-symplectic algebroids and their applications ⋮ Nonlinear splittings on fibre bundles ⋮ \(K\)-theory of affine actions ⋮ Coisotropic Submanifolds in b-symplectic Geometry

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