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  • 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.
  • 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. (en)
Title
  • Representation of the Variational Sequence by Differential Forms
  • Representation of the Variational Sequence by Differential Forms (en)
skos:prefLabel
  • Representation of the Variational Sequence by Differential Forms
  • Representation of the Variational Sequence by Differential Forms (en)
skos:notation
  • RIV/00216224:14310/05:00012697!RIV10-MSM-14310___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/03/0512), Z(MSM0021622409)
http://linked.open...iv/cisloPeriodika
  • 1
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 540819
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14310/05:00012697
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • finite order variational sequence; differential forms; representation (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [13301FAF7F96]
http://linked.open...i/riv/nazevZdroje
  • Acta Applicandae Mathematicae
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 88 / 2005
http://linked.open...iv/tvurceVysledku
  • Musilová, Jana
  • Krbek, Michael
http://linked.open...ain/vavai/riv/wos
  • 000231706600003
http://linked.open...n/vavai/riv/zamer
issn
  • 0167-8019
number of pages
http://localhost/t...ganizacniJednotka
  • 14310
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