About: Representation of the variational sequence in field theory

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	The aim of this paper is to discuss some aspects of local and global properties of classical concepts of calculus of variations in the r-th order field theory on fibered manifolds within the framework of the variational sequence, which is the quotient of the De Rham sequence with respect to its subsequence of contact differential forms. There is a close relationship between elements of the quotient sheaves (classes of forms) and the quotient mappings on one hand and the standard objects of the calculus of variations, such as lagrangian, Euler-Lagrange form and Helmholtz-Sonin expressions defining the so called Helmholtz-Sonin form, on the other hand. The aim of this paper is to discuss some aspects of local and global properties of classical concepts of calculus of variations in the r-th order field theory on fibered manifolds within the framework of the variational sequence, which is the quotient of the De Rham sequence with respect to its subsequence of contact differential forms. There is a close relationship between elements of the quotient sheaves (classes of forms) and the quotient mappings on one hand and the standard objects of the calculus of variations, such as lagrangian, Euler-Lagrange form and Helmholtz-Sonin expressions defining the so called Helmholtz-Sonin form, on the other hand. (en)
Title	Representation of the variational sequence in field theory Representation of the variational sequence in field theory (en)
skos:prefLabel	Representation of the variational sequence in field theory Representation of the variational sequence in field theory (en)
skos:notation	RIV/47813059:19610/01:00000066!RIV/2002/GA0/196102/N
http://linked.open.../vavai/riv/strany	%22147;160%22
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA201/97/0001), Z(MSM 192400002)
http://linked.open...vai/riv/dodaniDat	2002
http://linked.open...aciTvurceVysledku	Kašparová, Jana Musilová, Jana
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Slezská univerzita v Opavě / Matematický ústav v Opavě
http://linked.open...dnocenehoVysledku	694533
http://linked.open...ai/riv/idVysledku	RIV/47813059:19610/01:00000066
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	%22fibered manifold; r-jet prolongation; contact form; de Rham sequence; variational sequence; Euler-Lagrange mapping; Helmholtz-Sonin expressions%22 (en)
http://linked.open.../riv/klicoveSlovo	variational sequence de Rham sequence %22fibered manifold Euler-Lagrange mapping Helmholtz-Sonin expressions%22 r-jet prolongation contact form
http://linked.open...ontrolniKodProRIV	[363A6295B253]
http://linked.open...v/mistoKonaniAkce	Debrecen
http://linked.open...i/riv/mistoVydani	Debrecen
http://linked.open...i/riv/nazevZdroje	Steps in Differential Geometry
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...ocetUcastnikuAkce	0 (xsd:int)
http://linked.open...nichUcastnikuAkce	0 (xsd:int)
http://linked.open...vavai/riv/projekt	Dynamical systems
http://linked.open...UplatneniVysledku	2001
http://linked.open...iv/tvurceVysledku	Kašparová, Jana Musilová, Jana Krbek, Michael
http://linked.open...vavai/riv/typAkce	EUR - Evropská
http://linked.open.../riv/zahajeniAkce	2000-01-01 (xsd:date)
http://linked.open...n/vavai/riv/zamer	http://linked.opendata.cz/resource/domain/vavai/zamer/MSM%20192400002
number of pages	14 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Debrecen University
http://localhost/t...ganizacniJednotka	19610

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