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  • Extension of the variational sequence theory in mechanics to the first order Grassmann fibrations of 1-dimensional submanifolds is presented. The correspondence with the variational theory of parameter-invariant problems on manifolds is discussed in terms of the theory of jets (slit tangent bundles) and contact elements. In particular, the Helmholtz expressions for parameter-invariant variational problems, measuring local variationality of differential forms and differential equations, are given in the canonical and adapted coordinates. The methods can easily be extended to higher order variational problems.
  • Extension of the variational sequence theory in mechanics to the first order Grassmann fibrations of 1-dimensional submanifolds is presented. The correspondence with the variational theory of parameter-invariant problems on manifolds is discussed in terms of the theory of jets (slit tangent bundles) and contact elements. In particular, the Helmholtz expressions for parameter-invariant variational problems, measuring local variationality of differential forms and differential equations, are given in the canonical and adapted coordinates. The methods can easily be extended to higher order variational problems. (en)
Title
  • Variational sequences in mechanics on Grassmann Fibrations
  • Variational sequences in mechanics on Grassmann Fibrations (en)
skos:prefLabel
  • Variational sequences in mechanics on Grassmann Fibrations
  • Variational sequences in mechanics on Grassmann Fibrations (en)
skos:notation
  • RIV/00216224:14310/10:00073365!RIV15-GA0-14310___
http://linked.open...avai/riv/aktivita
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  • P(GA201/09/0981)
http://linked.open...iv/cisloPeriodika
  • 2
http://linked.open...vai/riv/dodaniDat
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http://linked.open...dnocenehoVysledku
  • 295330
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14310/10:00073365
http://linked.open...riv/jazykVysledku
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  • Variational sequence; Euler-Lagrange equations; Helmholtz conditions; Jet (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [68A7E4B3778D]
http://linked.open...i/riv/nazevZdroje
  • Acta Applicandae Mathematicae
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http://linked.open...ichTvurcuVysledku
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http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 112
http://linked.open...iv/tvurceVysledku
  • Krupka, Demeter
  • Urban, Zbyněk
http://linked.open...ain/vavai/riv/wos
  • 000282506300006
issn
  • 0167-8019
number of pages
http://bibframe.org/vocab/doi
  • 10.1007/s10440-010-9561-y
http://localhost/t...ganizacniJednotka
  • 14310
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