Invariant Lagrangians, mechanical connections and the Lagrange-Poincare equations

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dc.creatorMestdag, T.
dc.creatorCrampin, M.
dc.date2008-02-01
dc.date.accessioned2026-07-07T09:59:50Z
dc.date.available2026-07-07T09:59:50Z
dc.descriptionWe deal with Lagrangian systems that are invariant under the action of a symmetry group. The mechanical connection is a principal connection that is associated to Lagrangians which have a kinetic energy function that is defined by a Riemannian metric. In this paper we extend this notion to arbitrary Lagrangians. We then derive the reduced Lagrange-Poincare equations in a new fashion and we show how solutions of the Euler-Lagrange equations can be reconstructed with the help of the mechanical connection. Illustrative examples confirm the theory.
dc.description22 pages, to appear in J. Phys. A: Math. Theor., D2HFest special issue
dc.identifierhttps://arxiv.org/abs/0802.0146
dc.identifierhttp://arxiv.org/abs/0802.0146
dc.identifierJ. Phys. A: Math. Theor. 41 (2008) 344015 (20pp)
dc.identifierdoi:10.1088/1751-8113/41/34/344015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168165
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject34A26; 37J15; 53C05; 70H03
dc.titleInvariant Lagrangians, mechanical connections and the Lagrange-Poincare equations
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