The fundamental form of a second-order homogeneous Lagrangian in two variables

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dc.creatorSaunders, D. J.
dc.date2005-12-16
dc.date.accessioned2026-07-07T06:55:24Z
dc.date.available2026-07-07T06:55:24Z
dc.descriptionWe construct, for a second-order homogeneous Lagrangian in two independent variables, a differential 2-form with the property that it is closed precisely when the Lagrangian is null. This is similar to the property of the 'fundamental Lepage equivalent' associated with first-order Lagrangians defined on jets of sections of a fibred manifold. We show that this form may be defined on a fourth-order frame bundle but is not, in general, projectable to a bundle of contact elements
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/math/0512384
dc.identifierhttp://arxiv.org/abs/math/0512384
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106265
dc.subjectDifferential Geometry
dc.subject58E99
dc.titleThe fundamental form of a second-order homogeneous Lagrangian in two variables
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