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

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dc.contributor.authorIglesias, D.
dc.contributor.authorMarrero, J.C.
dc.contributor.authorMartín de Diego, D.
dc.contributor.authorMartínez, E.
dc.contributor.authorPadrón, E.
dc.date.accessioned2019-02-16T08:39:53Z
dc.date.available2019-02-16T08:39:53Z
dc.date.issued2007
dc.description.abstractWe 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.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Proceedings of the Workshop on Geometric Aspects of Integrable Systems (July 17–19, 2006, University of Coimbra, Portugal). Supported in part by BFM2003-01319, MTM2006-03322, MTM2004-7832, S-0505/ESP/0158 of the CAM and BFM2003-02532. J.C. Marrero wishes to thank the organizers of the workshop Geometric Aspects of Integrable Systems (Coimbra, 2006) for their hospitality and their job in the organization. Finally, we also would like to thank the anonymous referees for the observations that have improved the manuscript.uk_UA
dc.identifier.citationReduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group / D. Iglesias, J.C. Marrero, D. Martín de Diego, E. Martínez, E. Padrón // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 21 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2000 Mathematics Subject Classification: 53D20; 58F05; 70H05
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/147814
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleReduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Groupuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3, випуск за цей рік