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  • 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 (en)
Title
  • THE CARTAN FORM AND ITS GENERALIZATIONS IN THE CALCULUS OF VARIATIONS
  • THE CARTAN FORM AND ITS GENERALIZATIONS IN THE CALCULUS OF VARIATIONS (en)
skos:prefLabel
  • THE CARTAN FORM AND ITS GENERALIZATIONS IN THE CALCULUS OF VARIATIONS
  • THE CARTAN FORM AND ITS GENERALIZATIONS IN THE CALCULUS OF VARIATIONS (en)
skos:notation
  • RIV/00216224:14310/10:00073366!RIV15-GA0-14310___
http://linked.open...avai/riv/aktivita
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  • P(GA201/09/0981)
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  • 4
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  • 249661
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  • RIV/00216224:14310/10:00073366
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  • Fibered manifold; calculus of variations; first variation formula; Cartan form; Lepage form (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • SG - Singapurská republika
http://linked.open...ontrolniKodProRIV
  • [A448A0C9D96C]
http://linked.open...i/riv/nazevZdroje
  • International Journal of Geometric Methods in Modern Physics
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  • 7
http://linked.open...iv/tvurceVysledku
  • Krupková, Olga
  • Krupka, Demeter
  • Saunders, David
http://linked.open...ain/vavai/riv/wos
  • 000279516400007
issn
  • 0219-8878
number of pages
http://bibframe.org/vocab/doi
  • 10.1142/S0219887810004488
http://localhost/t...ganizacniJednotka
  • 14310
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