How to recover a Lagrangian using the homogeneous variational bicomplex

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dc.creatorSaunders, D. J.
dc.date2006-12-20
dc.date.accessioned2026-07-07T07:36:20Z
dc.date.available2026-07-07T07:36:20Z
dc.descriptionWe show how the homogeneous variational bicomplex provides a useful formalism for describing a number of properties of single-integral variational problems, and we introduce a subsequence of one of the rows of the bicomplex which is locally exact with respect to the variational derivative. We are therefore able to recover a Lagrangian from a set of equations given as a variationally-closed differential form. As an example, we show how to recover a first-order Lagrangian from a suitable set of second-order equations.
dc.identifierhttps://arxiv.org/abs/math/0612587
dc.identifierhttp://arxiv.org/abs/math/0612587
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120392
dc.subjectDifferential Geometry
dc.subject58E99
dc.titleHow to recover a Lagrangian using the homogeneous variational bicomplex
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