Routh's procedure for non-Abelian symmetry groups

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dc.creatorCrampin, M.
dc.creatorMestdag, T.
dc.date2008-02-05
dc.date.accessioned2026-07-07T09:25:46Z
dc.date.available2026-07-07T09:25:46Z
dc.descriptionWe extend Routh's reduction procedure to an arbitrary Lagrangian system (that is, one whose Lagrangian is not necessarily the difference of kinetic and potential energies) with a symmetry group which is not necessarily Abelian. To do so we analyse the restriction of the Euler-Lagrange field to a level set of momentum in velocity phase space. We present a new method of analysis based on the use of quasi-velocities. We discuss the reconstruction of solutions of the full Euler-Lagrange equations from those of the reduced equations.
dc.description30 pages, to appear in J Math Phys
dc.identifierhttps://arxiv.org/abs/0802.0528
dc.identifierhttp://arxiv.org/abs/0802.0528
dc.identifierJ Math Phys (2008) 49, 032901.
dc.identifierdoi:10.1063/1.2885077
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156517
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject34A26; 37J15; 53C05; 70H03
dc.titleRouth's procedure for non-Abelian symmetry groups
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