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@article{583362,
author = {Krbek, Michael and Musilová, Jana},
article_number = {1},
keywords = {finite order variational sequence; differential forms; representation},
language = {eng},
issn = {0167-8019},
journal = {Acta Applicandae Mathematicae},
title = {Representation of the Variational Sequence by Differential Forms},
volume = {88 / 2005},
year = {2005}
}
TY - JOUR
ID - 583362
AU - Krbek, Michael - Musilová, Jana
PY - 2005
TI - Representation of the Variational Sequence by Differential Forms
JF - Acta Applicandae Mathematicae
VL - 88 / 2005
IS - 1
SP - 177-199
EP - 177-199
PB - Kluwer
SN - 01678019
KW - finite order variational sequence
KW - differential forms
KW - representation
N2 - 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.
ER -
KRBEK, Michael a Jana MUSILOVÁ. Representation of the Variational Sequence by Differential Forms. \textit{Acta Applicandae Mathematicae}. Kluwer, 2005, roč.~88 / 2005, č.~1, s.~177-199. ISSN~0167-8019.
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