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Symmetry, Integrability and Geometry: Methods and Applications, 2007, Volume 3, 049, 28 pp.
DOI: https://doi.org/10.3842/SIGMA.2007.049 (Mi sigma175) 		 
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
Full-text PDF (367 kB) Citations (13)
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DOI: https://doi.org/10.3842/SIGMA.2007.049
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
Bibliographic databases:
Document Type: Article
MSC: 53D20; 58F05; 70H05
Language: English
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.
Citation in format AMSBIB
\Bibitem{IglMarMar07}
\by David Iglesias, Juan Carlos Marrero, David Mart{\'\i}n de Diego, Eduardo Mart{\'\i}nez, Edith Padr\'on
\paper Reduction of Symplectic Lie Algebroids by a~Lie Subalgebroid and a~Symmetry Lie Group
\jour SIGMA
\yr 2007
\vol 3
\papernumber 049
\totalpages 28
\mathnet{http://mi.mathnet.ru/sigma175}
\crossref{https://doi.org/10.3842/SIGMA.2007.049}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2299850}
\zmath{https://zbmath.org/?q=an:1149.53051}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84889234784}
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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