Symplectic reduction and a Darboux-Moser-Weinstein theorem for Lie algebroids

Abstract

We extend the Marsden-Weinstein reduction theorem and the Darboux-Moser-Weinstein theorem to symplectic Lie algebroids. We also obtain a coisotropic embedding theorem for symplectic Lie algebroids.

arXiv comment42 pages, references added, errors in section 5 corrected

References in corpus (6)

• Higher vector bundles and multi-graded symplectic manifolds
• A supergeometric approach to Poisson reduction
• Reduction of a symplectic-like Lie algebroid with momentum map and its application to fiberwise linear Poisson structures
• Deformation spaces and normal forms around transversals
• Submersions by Lie algebroids
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Cited by in corpus (1)

• Log symplectic manifolds and $[Q,R]=0$