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

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dc.creatorIglesias, D.
dc.creatorMarrero, J. C.
dc.creatorde Diego, D. Martin
dc.creatorMartinez, E.
dc.creatorPadron, E.
dc.date2007-03-07
dc.date2007-03-16
dc.date.accessioned2026-07-07T09:34:36Z
dc.date.available2026-07-07T09:34:36Z
dc.descriptionWe 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.
dc.descriptionThis is a contribution to the Proc. of workshop on Geometric Aspects of Integrable Systems (July 17-19, 2006; Coimbra, Portugal), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/math/0703189
dc.identifierhttp://arxiv.org/abs/math/0703189
dc.identifierSIGMA 3 (2007), 049, 28 pages
dc.identifierdoi:10.3842/SIGMA.2007.049
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159549
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject53D20; 58F05; 70H05
dc.titleReduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group
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