About: Hamiltonian field theory revisited: A geometric approach to regularity

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	A reformulation and generalization of basic concepts such as Hamiltonian system, Hamilton equations, regularity, and Legendre transformation for variational systems on fibered manifolds, is presented. The theory is based on the concept of Lepagean (n+1)-form (where n is the dimension of the base manifold). Contrary to the standard approach, where Hamiltonian theory is related to a single Lagrangian, here a Hamiltonian system is associated with an Euler-Lagrange form, i.e., with the class of all equivalent Lagrangians. Hamilton equations are introduced to be equations for integral sections of an exterior differential system. Relations between extremals and solutions of Hamilton equations are studied in detail. New regularity conditions and Legendre transformation formulas are found a procedure of regularization of variational problems is proposed. A reformulation and generalization of basic concepts such as Hamiltonian system, Hamilton equations, regularity, and Legendre transformation for variational systems on fibered manifolds, is presented. The theory is based on the concept of Lepagean (n+1)-form (where n is the dimension of the base manifold). Contrary to the standard approach, where Hamiltonian theory is related to a single Lagrangian, here a Hamiltonian system is associated with an Euler-Lagrange form, i.e., with the class of all equivalent Lagrangians. Hamilton equations are introduced to be equations for integral sections of an exterior differential system. Relations between extremals and solutions of Hamilton equations are studied in detail. New regularity conditions and Legendre transformation formulas are found a procedure of regularization of variational problems is proposed. (en)
Title	Hamiltonian field theory revisited: A geometric approach to regularity Hamiltonian field theory revisited: A geometric approach to regularity (en)
skos:prefLabel	Hamiltonian field theory revisited: A geometric approach to regularity Hamiltonian field theory revisited: A geometric approach to regularity (en)
skos:notation	RIV/47813059:19610/01:00000068!RIV/2002/MSM/196102/N
http://linked.open.../vavai/riv/strany	187;207
http://linked.open...avai/riv/aktivita	Z
http://linked.open...avai/riv/aktivity	Z(MSM 192400002)
http://linked.open...vai/riv/dodaniDat	2002
http://linked.open...aciTvurceVysledku	Krupková, Olga
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Slezská univerzita v Opavě / Matematický ústav v Opavě
http://linked.open...dnocenehoVysledku	681451
http://linked.open...ai/riv/idVysledku	RIV/47813059:19610/01:00000068
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Lagrangian systems; Poincaré-Cartan form; Lepagean form; Hamiltonian system; Hamilton extremals; Hamilton-DeDonder theory; Hamilton equations; regularity; Legendre transformations (en)
http://linked.open.../riv/klicoveSlovo	Hamiltonian system Poincaré-Cartan form regularity Hamilton equations Lepagean form Hamilton extremals Hamilton-DeDonder theory Lagrangian systems Legendre transformations
http://linked.open...ontrolniKodProRIV	[F2113DA16224]
http://linked.open...v/mistoKonaniAkce	Debrecen
http://linked.open...i/riv/mistoVydani	Debrecen
http://linked.open...i/riv/nazevZdroje	Steps in Differential Geometry
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...ocetUcastnikuAkce	0 (xsd:int)
http://linked.open...nichUcastnikuAkce	0 (xsd:int)
http://linked.open...UplatneniVysledku	2001
http://linked.open...iv/tvurceVysledku	Krupková, Olga
http://linked.open...vavai/riv/typAkce	EUR - Evropská
http://linked.open.../riv/zahajeniAkce	2000-01-01 (xsd:date)
http://linked.open...n/vavai/riv/zamer	http://linked.opendata.cz/resource/domain/vavai/zamer/MSM%20192400002
number of pages	21 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Debrecen University
http://localhost/t...ganizacniJednotka	19610

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