This HTML5 document contains 45 embedded RDF statements represented using HTML+Microdata notation.

The embedded RDF content will be recognized by any processor of HTML5 Microdata.

Namespace Prefixes

PrefixIRI
n16http://linked.opendata.cz/resource/domain/vavai/vysledek/RIV%2F61989592%3A15310%2F08%3A00005361%21RIV09-MSM-15310___/
dctermshttp://purl.org/dc/terms/
n10http://localhost/temp/predkladatel/
n12http://linked.opendata.cz/resource/domain/vavai/riv/tvurce/
n8http://linked.opendata.cz/resource/domain/vavai/projekt/
n11http://linked.opendata.cz/ontology/domain/vavai/
n19http://linked.opendata.cz/resource/domain/vavai/zamer/
shttp://schema.org/
n4http://linked.opendata.cz/ontology/domain/vavai/riv/
skoshttp://www.w3.org/2004/02/skos/core#
n2http://linked.opendata.cz/resource/domain/vavai/vysledek/
rdfhttp://www.w3.org/1999/02/22-rdf-syntax-ns#
n5http://linked.opendata.cz/ontology/domain/vavai/riv/klicoveSlovo/
n15http://linked.opendata.cz/ontology/domain/vavai/riv/duvernostUdaju/
xsdhhttp://www.w3.org/2001/XMLSchema#
n13http://linked.opendata.cz/ontology/domain/vavai/riv/aktivita/
n7http://linked.opendata.cz/ontology/domain/vavai/riv/jazykVysledku/
n18http://linked.opendata.cz/ontology/domain/vavai/riv/obor/
n9http://linked.opendata.cz/ontology/domain/vavai/riv/druhVysledku/
n14http://reference.data.gov.uk/id/gregorian-year/

Statements

Subject Item
n2:RIV%2F61989592%3A15310%2F08%3A00005361%21RIV09-MSM-15310___
rdf:type
skos:Concept n11:Vysledek
dcterms:description
Je zkoumána globální struktura Hilbert-Yang-Millsova funkcionálu v rámci teorie prodloužení hlavních fibrovaných prostorů a globální variační teorie na fibrovaných varietách. Konstruujeme hlavní Lepageův ekvivalent tohoto lagrangiánu a odvozujeme první variační formuli. Ukazujeme, že Noetherovské toky, asociované s isomorfismy podkladových struktur se štěpí na několik členů; jedním z nich je Komar-Yang-Millsův superpotenciál. Jako důsledky invariance jsou odvozeny Noetherovské zákony zachování pro globálni toky. Jako příklad je nalezen lokální vzorec pro Komar-Yang-Millsův superpotenciál Reisnsnerova-Nordströmova řešení Einsteinových rovnic The global variational functional, dened by the Hilbert-Yang-Mills Lagrangian over a smooth manifold, is investigated within the framework of prolongation theory of principal ber bundles, and global variational theory on bered manifolds. The principal Lepage equivalent of this Lagrangian is constructed, and the corresponding innitesimal rst variation formula is obtained. It is shown, in particular, that the Noether currents, associated with isomorphisms of the underlying geometric structures, split naturally to several terms, one of which is exterior derivative of the Komar-Yang-Mills superpotential. Consequences of invariance of the Hilbert-Yang-Mills Lagrangian under isomorphisms of underlying geometric structures such as Noether?s conservation laws for global currents are then established. As an example, a general formula for the Komar-Yang-Mills superpotential of the Reissner-Nordstrom solution of the Einstein equations is found. The global variational functional, dened by the Hilbert-Yang-Mills Lagrangian over a smooth manifold, is investigated within the framework of prolongation theory of principal ber bundles, and global variational theory on bered manifolds. The principal Lepage equivalent of this Lagrangian is constructed, and the corresponding innitesimal rst variation formula is obtained. It is shown, in particular, that the Noether currents, associated with isomorphisms of the underlying geometric structures, split naturally to several terms, one of which is exterior derivative of the Komar-Yang-Mills superpotential. Consequences of invariance of the Hilbert-Yang-Mills Lagrangian under isomorphisms of underlying geometric structures such as Noether?s conservation laws for global currents are then established. As an example, a general formula for the Komar-Yang-Mills superpotential of the Reissner-Nordstrom solution of the Einstein equations is found.
dcterms:title
Geometric structure of the Hilbert-Yang-Mills functional Geometrická struktura Hilbert-Yang-Millsova funkcionálu Geometric structure of the Hilbert-Yang-Mills functional
skos:prefLabel
Geometrická struktura Hilbert-Yang-Millsova funkcionálu Geometric structure of the Hilbert-Yang-Mills functional Geometric structure of the Hilbert-Yang-Mills functional
skos:notation
RIV/61989592:15310/08:00005361!RIV09-MSM-15310___
n4:aktivita
n13:P n13:Z
n4:aktivity
P(GA201/06/0922), Z(MSM6198959214)
n4:cisloPeriodika
3
n4:dodaniDat
n14:2009
n4:domaciTvurceVysledku
n12:6915647
n4:druhVysledku
n9:J
n4:duvernostUdaju
n15:S
n4:entitaPredkladatele
n16:predkladatel
n4:idSjednocenehoVysledku
369289
n4:idVysledku
RIV/61989592:15310/08:00005361
n4:jazykVysledku
n7:eng
n4:klicovaSlova
variational principle; Lagrangian; Noether?s invariance; jet prolongation; gauge natural structure
n4:klicoveSlovo
n5:jet%20prolongation n5:Lagrangian n5:variational%20principle n5:gauge%20natural%20structure n5:Noether%3Fs%20invariance
n4:kodStatuVydavatele
SG - Singapurská republika
n4:kontrolniKodProRIV
[B02E0C4DAA05]
n4:nazevZdroje
International Journal of Geometric Methods in Modern Physics
n4:obor
n18:BA
n4:pocetDomacichTvurcuVysledku
1
n4:pocetTvurcuVysledku
2
n4:projekt
n8:GA201%2F06%2F0922
n4:rokUplatneniVysledku
n14:2008
n4:svazekPeriodika
5
n4:tvurceVysledku
Paták, Aleš Krupka, Demeter
n4:zamer
n19:MSM6198959214
s:issn
0219-8878
s:numberOfPages
19
n10:organizacniJednotka
15310