"Voln\u00FD, Petr" . . . "Singapore" . . "Constrained Lepage forms" . . "Constrained Lepage forms"@en . . . "V\u00E1zan\u00E9 Lepageovy formy"@cs . . . . . "3"^^ . . "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 . "V\u00E1zan\u00E9 Lepageovy formy"@cs . "Voln\u00E1, Jana" . "P(GA201/06/0922), Z(MSM6198959214)" . "7"^^ . "1"^^ . "15310" . . . "Lepageovy formy, zaveden\u00E9 D. Krupkou v\u00A0r. 1973 p\u0159edstavuj\u00ED fundament\u00E1ln\u00ED objekty v\u00A0glob\u00E1ln\u00ED varia\u010Dn\u00ED teorii na fibrovan\u00FDch prostorech. V\u00A0pr\u00E1ci roz\u0161i\u0159ujeme tento pojem na p\u0159\u00EDpad, kdy jsou p\u0159\u00EDtomny neholonomn\u00ED vazby. Zav\u00E1d\u00EDme v\u00E1zan\u00E9 Lepageovy formy jako diferenci\u00E1ln\u00ED formy definovan\u00E9 na vazebn\u00E9 podvariet\u011B v\u00A0prvn\u00EDm jetov\u00E9m prodlou\u017Een\u00ED fibrovan\u00E9 variety. Nalezli jsme tak\u00E9 tvar v\u00E1zan\u00E9 Eulerovy-Lagrangeovy formy, kter\u00E1 glob\u00E1ln\u011B reprezentuje varia\u010Dn\u00ED rovnice s\u00A0neholonomn\u00EDmi vazbami."@cs . . . "RIV/61989592:15310/08:00005366!RIV09-MSM-15310___" . "World Scientific" . . "[1D8ABA37F794]" . . "RIV/61989592:15310/08:00005366" . "978-981-279-060-6" . "Krupkov\u00E1, Olga" . . "Fibred manifold; non-holonomic constraint; canonical distribution; Lepage form; Lagrangian; Euler-Lagrange form."@en . "361077" . "Constrained Lepage forms" . "Constrained Lepage forms"@en . . "Differential Geometry and its Applications, Proceedings of 10th Internatoinal Conference on Differential Geometry & Applications" .