Hamiltonian Dynamics on Lie Algebroids, Unimodularity and Preservation of Volumes

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dc.creatorMarrero, JC
dc.date2009-05-01
dc.date.accessioned2026-07-07T13:11:02Z
dc.date.available2026-07-07T13:11:02Z
dc.descriptionIn this paper we discuss the relation between the unimodularity of a Lie algebroid $τ_{A}: A\to Q$ and the existence of invariant volume forms for the hamiltonian dynamics on the dual bundle $A^{*}$. The results obtained in this direction are applied to several hamiltonian systems on different examples of Lie algebroids.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/0905.0123
dc.identifierhttp://arxiv.org/abs/0905.0123
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229166
dc.subjectMathematical Physics
dc.subject17B66; 53D17; 70G45; 70G65; 70H05
dc.titleHamiltonian Dynamics on Lie Algebroids, Unimodularity and Preservation of Volumes
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