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

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

2011-11-20

arxiv.org/abs/1111.4696v2

2012 J. Phys. A: Math. Theor. 45 165201

Mathematics

Symplectic Geometry

36 pages

Scientific paper

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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