Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group

Details Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group

2007-03-07

arxiv.org/abs/math/0703189v2

SIGMA 3 (2007), 049, 28 pages

Mathematics

Differential Geometry

This is a contribution to the Proc. of workshop on Geometric Aspects of Integrable Systems (July 17-19, 2006; Coimbra, Portuga

Scientific paper

10.3842/SIGMA.2007.049

We describe the reduction procedure for a symplectic Lie algebroid by a Lie
subalgebroid and a symmetry Lie group. Moreover, given an invariant Hamiltonian
function we obtain the corresponding reduced Hamiltonian dynamics. Several
examples illustrate the generality of the theory.

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