Non-holonomic Lagrangian systems on Lie algebroids

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dc.creatorCortes, J.
dc.creatorde Leon, M.
dc.creatorMarrero, J. C.
dc.creatorMartinez, E.
dc.date2005-12-01
dc.date2008-04-30
dc.date.accessioned2026-07-07T09:35:54Z
dc.date.available2026-07-07T09:35:54Z
dc.descriptionThis paper presents a geometric description on Lie algebroids of Lagrangian systems subject to nonholonomic constraints. The Lie algebroid framework provides a natural generalization of classical tangent bundle geometry. We define the notion of nonholonomically constrained system, and characterize regularity conditions that guarantee the dynamics of the system can be obtained as a suitable projection of the unconstrained dynamics. The proposed novel formalism provides new insights into the geometry of nonholonomic systems, and allows us to treat in a unified way a variety of situations, including systems with symmetry, morphisms and reduction, and nonlinearly constrained systems. Various examples illustrate the results.
dc.descriptionTo appear in Discrete and Continuous Dynamical Systems - A
dc.identifierhttps://arxiv.org/abs/math-ph/0512003
dc.identifierhttp://arxiv.org/abs/math-ph/0512003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159990
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.subject70F25; 70H03; 70H33; 37J60; 53D17
dc.titleNon-holonomic Lagrangian systems on Lie algebroids
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