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dc.creatorIglesias, David-
dc.creatorMarrero, Juan Carlos-
dc.creatorMartín de Diego, David-
dc.creatorSosa, Diana-
dc.date2007-12-04T17:18:10Z-
dc.date2007-12-04T17:18:10Z-
dc.date2007-06-19-
dc.date.accessioned2017-01-31T00:59:21Z-
dc.date.available2017-01-31T00:59:21Z-
dc.identifierarXiv:0706.2789v1-
dc.identifierhttp://hdl.handle.net/10261/2524-
dc.identifier.urihttp://dspace.mediu.edu.my:8181/xmlui/handle/10261/2524-
dc.descriptionThe purpose of this paper is to describe Lagrangian Mechanics for constrained systems on Lie algebroids, a natural framework which covers a wide range of situations (systems on Lie groups, quotients by the action of a Lie group, standard tangent bundles...). In particular, we are interested in two cases: singular Lagrangian systems and vakonomic mechanics (variational constrained mechanics). Several examples illustrate the interest of these developments.-
dc.descriptionThis work has been partially supported by MEC (Spain) Grants MTM 2006-03322, MTM 2004-7832, project “Ingenio Mathematica” (i-MATH) No. CSD 2006-00032 (Consolider-Ingenio 2010) and S-0505/ESP/0158 of the CAM. D. Iglesias wants to thank MEC for a Research Contract "Juan de la Cierva".-
dc.descriptionPeer reviewed-
dc.languageeng-
dc.relationPreprint-
dc.rightsopenAccess-
dc.subjectLie algebroids-
dc.subjectLagrangian Mechanics-
dc.subjectHamiltonian Mechanics-
dc.subjectConstraint algorithm-
dc.subjectReduction-
dc.subjectSingular Lagrangian systems-
dc.subjectVakonomic mechanics-
dc.subjectVariational calculus-
dc.titleSingular Lagrangian systems and variational constrained mechanics on Lie algebroids-
dc.typePre-print-
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