Symmetries and conservation laws in the Gunther k-symplectic formalism of field theory

This paper is devoted to studying symmetries of k-symplectic Hamiltonian and Lagrangian first-order classical field theories. In particular, we define symmetries and Cartan symmetries and study the problem of associating conservation laws to these symmetries, stating and proving Noether's theor...

Descripción completa

Detalles Bibliográficos
Autores: Román Roy, Narciso|||0000-0003-3663-9861, Salgado, Modesto, Vilariño, Silvia
Tipo de recurso: artículo
Fecha de publicación:2007
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/673
Acceso en línea:https://hdl.handle.net/2117/673
Access Level:acceso abierto
Palabra clave:Symplectic geometry
Bayesian field theory
Symmetries
Conservation laws
Noether theorem
Lagrangian and Hamiltonian field theories
k-symplectic manifolds
Varietats simplèctiques
Simetria
Classificació AMS::70 Mechanics of particles and systems::70S Classical field theories
Classificació AMS::53 Differential geometry::53D Symplectic geometry, contact geometry
Àrees temàtiques de la UPC::Matemàtiques i estadística
id ES_60ca587366f0d44bdba0bd58b6c09a3c
oai_identifier_str oai:upcommons.upc.edu:2117/673
network_acronym_str ES
network_name_str España
repository_id_str
spelling Symmetries and conservation laws in the Gunther k-symplectic formalism of field theoryRomán Roy, Narciso|||0000-0003-3663-9861Salgado, ModestoVilariño, SilviaSymplectic geometryBayesian field theorySymmetriesConservation lawsNoether theoremLagrangian and Hamiltonian field theoriesk-symplectic manifoldsVarietats simplèctiquesSimetriaClassificació AMS::70 Mechanics of particles and systems::70S Classical field theoriesClassificació AMS::53 Differential geometry::53D Symplectic geometry, contact geometryÀrees temàtiques de la UPC::Matemàtiques i estadísticaThis paper is devoted to studying symmetries of k-symplectic Hamiltonian and Lagrangian first-order classical field theories. In particular, we define symmetries and Cartan symmetries and study the problem of associating conservation laws to these symmetries, stating and proving Noether's theorem in different situations for the Hamiltonian and Lagrangian cases. We also characterize equivalent Lagrangians, which lead to an introduction of Lagrangian gauge symmetries, as well as analyzing their relation with Cartan symmetries.20072007-03-1220072007-03-13journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/673reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 2.5 Spainhttp://creativecommons.org/licenses/by-nc-nd/2.5/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/6732026-05-27T15:37:01Z
dc.title.none.fl_str_mv Symmetries and conservation laws in the Gunther k-symplectic formalism of field theory
title Symmetries and conservation laws in the Gunther k-symplectic formalism of field theory
spellingShingle Symmetries and conservation laws in the Gunther k-symplectic formalism of field theory
Román Roy, Narciso|||0000-0003-3663-9861
Symplectic geometry
Bayesian field theory
Symmetries
Conservation laws
Noether theorem
Lagrangian and Hamiltonian field theories
k-symplectic manifolds
Varietats simplèctiques
Simetria
Classificació AMS::70 Mechanics of particles and systems::70S Classical field theories
Classificació AMS::53 Differential geometry::53D Symplectic geometry, contact geometry
Àrees temàtiques de la UPC::Matemàtiques i estadística
title_short Symmetries and conservation laws in the Gunther k-symplectic formalism of field theory
title_full Symmetries and conservation laws in the Gunther k-symplectic formalism of field theory
title_fullStr Symmetries and conservation laws in the Gunther k-symplectic formalism of field theory
title_full_unstemmed Symmetries and conservation laws in the Gunther k-symplectic formalism of field theory
title_sort Symmetries and conservation laws in the Gunther k-symplectic formalism of field theory
dc.creator.none.fl_str_mv Román Roy, Narciso|||0000-0003-3663-9861
Salgado, Modesto
Vilariño, Silvia
author Román Roy, Narciso|||0000-0003-3663-9861
author_facet Román Roy, Narciso|||0000-0003-3663-9861
Salgado, Modesto
Vilariño, Silvia
author_role author
author2 Salgado, Modesto
Vilariño, Silvia
author2_role author
author
dc.subject.none.fl_str_mv Symplectic geometry
Bayesian field theory
Symmetries
Conservation laws
Noether theorem
Lagrangian and Hamiltonian field theories
k-symplectic manifolds
Varietats simplèctiques
Simetria
Classificació AMS::70 Mechanics of particles and systems::70S Classical field theories
Classificació AMS::53 Differential geometry::53D Symplectic geometry, contact geometry
Àrees temàtiques de la UPC::Matemàtiques i estadística
topic Symplectic geometry
Bayesian field theory
Symmetries
Conservation laws
Noether theorem
Lagrangian and Hamiltonian field theories
k-symplectic manifolds
Varietats simplèctiques
Simetria
Classificació AMS::70 Mechanics of particles and systems::70S Classical field theories
Classificació AMS::53 Differential geometry::53D Symplectic geometry, contact geometry
Àrees temàtiques de la UPC::Matemàtiques i estadística
description This paper is devoted to studying symmetries of k-symplectic Hamiltonian and Lagrangian first-order classical field theories. In particular, we define symmetries and Cartan symmetries and study the problem of associating conservation laws to these symmetries, stating and proving Noether's theorem in different situations for the Hamiltonian and Lagrangian cases. We also characterize equivalent Lagrangians, which lead to an introduction of Lagrangian gauge symmetries, as well as analyzing their relation with Cartan symmetries.
publishDate 2007
dc.date.none.fl_str_mv 2007
2007-03-12
2007
2007-03-13
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/673
url https://hdl.handle.net/2117/673
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 2.5 Spain
http://creativecommons.org/licenses/by-nc-nd/2.5/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 2.5 Spain
http://creativecommons.org/licenses/by-nc-nd/2.5/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869409333623652352
score 15,300719

Similares en LA Referencia