Publication details

Representation of the Variational Sequence by Differential Forms

Authors

KRBEK Michael MUSILOVÁ Jana

Year of publication 2005
Type Article in Periodical
Magazine / Source Acta Applicandae Mathematicae
MU Faculty or unit

Faculty of Science

Citation
Field Theoretical physics
Keywords finite order variational sequence; differential forms; representation
Description In the paper the representation of the finite order variational sequence on fibered manifolds in field theory is studied. The representation problem is completely solved by a generalization of the integration by parts procedure using the concept of Lie derivative of forms with respect to vector fields along canonial maps of prolongatios of fibered manifolds. A close relationship between the obtained coordinate invariant representation of the variational sequence and some familiar objects of physics, such as Lagrangians, dynamical forms, Euler-Lagrange mapping and Helmholtz-Sonin mapping is pointed out and illustrated by examples.
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