On the geometry of variational calculus on some functional bundles

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Authors

JANYŠKA Josef KOLÁŘ Ivan CABRAS Antonela

Year of publication 2006
Type Article in Periodical
Magazine / Source Note di Matematica
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords functional bundle; prolongational functor; Euler-Lagrange morphism
Description We 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.
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