On contact and symplectic Lie algebroids

zbMath1480.53041arXiv1607.02907MaRDI QIDQ5164970

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Publication date: 15 November 2021

Full work available at URL: https://arxiv.org/abs/1607.02907

zbMATH Keywords

Poisson structureLie algebroidsymplectic Lie algebroidcontact Lie algebroid

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

Cites Work

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• Deformation quantization of Poisson structures associated to Lie algebroids
• Integrability of Lie brackets
• Reduction of symplectic Lie algebroids by a Lie subalgebroid and a symmetry Lie group
• Poisson manifolds, Lie algebroids, modular classes: a survey
• Symmetries of second order differential equations on Lie algebroids
• Poisson structures on almost complex Lie algebroids
• Contact structures on Lie algebroids
• On Poisson Realizations of Transitive Lie Algebroids
• Lagrangian submanifolds and dynamics on Lie algebroids

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