On the geometry of variational calculus on some functional bundles

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dc.creatorCabras, Antonella
dc.creatorJanyška, Josef
dc.creatorKolář, Ivan
dc.date2004-07-19
dc.date.accessioned2026-07-07T05:10:27Z
dc.date.available2026-07-07T05:10:27Z
dc.descriptionWe first generalize the operation of formal exterior differential in the case of finite dimensional fibered manifolds and then we extend it to certain bundles of smooth maps. In order to characterize the operator order of some morphisms between our bundles of smooth maps, we introduce the concept of fiberwise $(k,r)$-jet. The relations to the Euler-Lagrange morphism of the variational calculus are described.
dc.identifierhttps://arxiv.org/abs/math/0407320
dc.identifierhttp://arxiv.org/abs/math/0407320
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71937
dc.subjectDifferential Geometry
dc.subject58A20; 58E30
dc.titleOn the geometry of variational calculus on some functional bundles
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