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This article is cited in 13 scientific papers (total in 13 papers)
Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group
David Iglesiasa, Juan Carlos Marrerob, David Martín de Diegoa, Eduardo Martínezc, Edith Padrónb a Departamento de Matemáticas, Instituto de Matemáticas y Física Fundamental,
Consejo Superior de Investigaciones Científicas, Serrano 123, 28006 Madrid, Spain
b Departamento de Matemática Fundamental, Facultad de Matemáticas, Universidad de la Laguna, La Laguna, Tenerife, Canary Islands, Spain
c Departamento de Matemáatica Aplicada, Facultad de Ciencias, Universidad de Zaragoza, 50009 Zaragoza, Spain
Abstract:
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.
Keywords:
Lie algebroids and subalgebroids; symplectic Lie algebroids; Hamiltonian dynamics; reduction procedure.
Received: November 14, 2006; in final form March 6, 2007; Published online March 16, 2007
Citation:
David Iglesias, Juan Carlos Marrero, David Martín de Diego, Eduardo Martínez, Edith Padrón, “Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group”, SIGMA, 3 (2007), 049, 28 pp.
Linking options:
https://www.mathnet.ru/eng/sigma175 https://www.mathnet.ru/eng/sigma/v3/p49
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