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Statements

Subject Item
n2:RIV%2F00216224%3A14310%2F10%3A00073366%21RIV15-GA0-14310___
rdf:type
n10:Vysledek skos:Concept
dcterms:description
In this paper, we discuss possible extensions of the concept of the Cartan form of classical mechanics to higher-order mechanics on manifolds, higher-order field theory on jet bundles and to parametric variational problems on slit tangent bundles and on bundles of nondegenerate velocities. We present a generalization of the Cartan form, known as a Lepage form, and basic properties of the Lepage forms. Both earlier and recent examples of differential forms generalizing the Cartan form are reviewed In this paper, we discuss possible extensions of the concept of the Cartan form of classical mechanics to higher-order mechanics on manifolds, higher-order field theory on jet bundles and to parametric variational problems on slit tangent bundles and on bundles of nondegenerate velocities. We present a generalization of the Cartan form, known as a Lepage form, and basic properties of the Lepage forms. Both earlier and recent examples of differential forms generalizing the Cartan form are reviewed
dcterms:title
THE CARTAN FORM AND ITS GENERALIZATIONS IN THE CALCULUS OF VARIATIONS THE CARTAN FORM AND ITS GENERALIZATIONS IN THE CALCULUS OF VARIATIONS
skos:prefLabel
THE CARTAN FORM AND ITS GENERALIZATIONS IN THE CALCULUS OF VARIATIONS THE CARTAN FORM AND ITS GENERALIZATIONS IN THE CALCULUS OF VARIATIONS
skos:notation
RIV/00216224:14310/10:00073366!RIV15-GA0-14310___
n5:aktivita
n16:P
n5:aktivity
P(GA201/09/0981)
n5:cisloPeriodika
4
n5:dodaniDat
n9:2015
n5:domaciTvurceVysledku
n13:6915647
n5:druhVysledku
n15:J
n5:duvernostUdaju
n12:S
n5:entitaPredkladatele
n11:predkladatel
n5:idSjednocenehoVysledku
249661
n5:idVysledku
RIV/00216224:14310/10:00073366
n5:jazykVysledku
n17:eng
n5:klicovaSlova
Fibered manifold; calculus of variations; first variation formula; Cartan form; Lepage form
n5:klicoveSlovo
n8:Cartan%20form n8:Lepage%20form n8:Fibered%20manifold n8:first%20variation%20formula n8:calculus%20of%20variations
n5:kodStatuVydavatele
SG - Singapurská republika
n5:kontrolniKodProRIV
[A448A0C9D96C]
n5:nazevZdroje
International Journal of Geometric Methods in Modern Physics
n5:obor
n14:BA
n5:pocetDomacichTvurcuVysledku
1
n5:pocetTvurcuVysledku
3
n5:projekt
n18:GA201%2F09%2F0981
n5:rokUplatneniVysledku
n9:2010
n5:svazekPeriodika
7
n5:tvurceVysledku
Krupka, Demeter Saunders, David Krupková, Olga
n5:wos
000279516400007
s:issn
0219-8878
s:numberOfPages
24
n19:doi
10.1142/S0219887810004488
n6:organizacniJednotka
14310