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arXiv · 1111.4696

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

Juan Carlos Marrero·Edith Padron·Miguel Rodriguez-Olmos
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Abstract

This article addresses the problem of developing an extension of the Marsden- Weinstein reduction process to symplectic Lie algebroids, and in particular to the case of the symplectic cover of a fiberwise linear Poisson structure, whose reduction process is the analogue to cotangent bundle reduction in the context of Lie algebroids.

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Juan Carlos Marrero, Edith Padron, Miguel Rodriguez-Olmos. 2011-11-20. Reduction of a symplectic-like Lie algebroid with momentum map and its application to fiberwise linear Poisson structures. https://doi.org/10.1088/1751-8113/45/16/165201

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