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  • Lepage forms, introduced by D. Krupka in 1973, are known to be fundamental objects in the global calculus of variations on fibred manifolds. We extend this concept to the case of non-holonomic constraints. We introduce constrained Lepage form as a differential form defined on a constraint submanifold in the first jet bundle over a fibred manifold, and obtain the constrained Euler-Lagrange form, globally representing variational equations with non-holonomic constraints.
  • Lepage forms, introduced by D. Krupka in 1973, are known to be fundamental objects in the global calculus of variations on fibred manifolds. We extend this concept to the case of non-holonomic constraints. We introduce constrained Lepage form as a differential form defined on a constraint submanifold in the first jet bundle over a fibred manifold, and obtain the constrained Euler-Lagrange form, globally representing variational equations with non-holonomic constraints. (en)
  • Lepageovy formy, zavedené D. Krupkou v r. 1973 představují fundamentální objekty v globální variační teorii na fibrovaných prostorech. V práci rozšiřujeme tento pojem na případ, kdy jsou přítomny neholonomní vazby. Zavádíme vázané Lepageovy formy jako diferenciální formy definované na vazebné podvarietě v prvním jetovém prodloužení fibrované variety. Nalezli jsme také tvar vázané Eulerovy-Lagrangeovy formy, která globálně reprezentuje variační rovnice s neholonomními vazbami. (cs)
Title
  • Constrained Lepage forms
  • Constrained Lepage forms (en)
  • Vázané Lepageovy formy (cs)
skos:prefLabel
  • Constrained Lepage forms
  • Constrained Lepage forms (en)
  • Vázané Lepageovy formy (cs)
skos:notation
  • RIV/61989592:15310/08:00005366!RIV09-MSM-15310___
http://linked.open...avai/riv/aktivita
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  • P(GA201/06/0922), Z(MSM6198959214)
http://linked.open...vai/riv/dodaniDat
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  • 361077
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  • RIV/61989592:15310/08:00005366
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  • Fibred manifold; non-holonomic constraint; canonical distribution; Lepage form; Lagrangian; Euler-Lagrange form. (en)
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  • [1D8ABA37F794]
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  • Singapore
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  • Differential Geometry and its Applications, Proceedings of 10th Internatoinal Conference on Differential Geometry & Applications
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  • Krupková, Olga
  • Volná, Jana
  • Volný, Petr
http://linked.open...n/vavai/riv/zamer
number of pages
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  • World Scientific
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  • 978-981-279-060-6
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  • 15310
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