The inverse problem for invariant Lagrangians on a Lie group

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dc.creatorCrampin, M.
dc.creatorMestdag, T.
dc.date2008-01-30
dc.date.accessioned2026-07-07T09:33:23Z
dc.date.available2026-07-07T09:33:23Z
dc.descriptionWe discuss the problem of the existence of a regular invariant Lagrangian for a given system of invariant second-order differential equations on a Lie group $G$, using approaches based on the Helmholtz conditions. Although we deal with the problem directly on $TG$, our main result relies on a reduction of the system on $TG$ to a system on the Lie algebra of $G$. We conclude with some illustrative examples.
dc.description31 pages
dc.identifierhttps://arxiv.org/abs/0801.4735
dc.identifierhttp://arxiv.org/abs/0801.4735
dc.identifierJournal of Lie Theory 18 (2008), 471-502.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159113
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject34A26; 37J15; 49N45
dc.titleThe inverse problem for invariant Lagrangians on a Lie group
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