Cotangent bundle reduction and Routh reduction for polysymplectic manifolds

Autores
Capriotti, Santiago; Díaz, V.; García-Toraño Andrés, Eduardo; Mestdag, T.
Año de publicación
2022
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We discuss Lagrangian and Hamiltonian field theories that are invariant under a symmetry group. We apply the polysymplectic reduction theorem for both types of field equations and we investigate aspects of the corresponding reconstruction process. We identify the polysymplectic structures that lie at the basis of cotangent bundle reduction and Routh reduction in this setting and we relate them by means of the Routhian function and its associated Legendre transformation. Throughout the paper we provide examples that illustrate various aspects of the results.
Fil: Capriotti, Santiago. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
Fil: Díaz, V.. Universidad Nacional del Sur; Argentina
Fil: García-Toraño Andrés, Eduardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
Fil: Mestdag, T.. Universiteit Antwerp; Bélgica. University of Ghent; Bélgica
Materia
HAMILTONIAN FIELD THEORY
LAGRANGIAN FIELD THEORY
MOMENTUM MAP
POLYSYMPLECTIC STRUCTURE
ROUTH REDUCTION
SYMMETRY
SYMPLECTIC REDUCTION
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/220705
Acceder
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network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Cotangent bundle reduction and Routh reduction for polysymplectic manifoldsCapriotti, SantiagoDíaz, V.García-Toraño Andrés, EduardoMestdag, T.HAMILTONIAN FIELD THEORYLAGRANGIAN FIELD THEORYMOMENTUM MAPPOLYSYMPLECTIC STRUCTUREROUTH REDUCTIONSYMMETRYSYMPLECTIC REDUCTIONhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We discuss Lagrangian and Hamiltonian field theories that are invariant under a symmetry group. We apply the polysymplectic reduction theorem for both types of field equations and we investigate aspects of the corresponding reconstruction process. We identify the polysymplectic structures that lie at the basis of cotangent bundle reduction and Routh reduction in this setting and we relate them by means of the Routhian function and its associated Legendre transformation. Throughout the paper we provide examples that illustrate various aspects of the results.Fil: Capriotti, Santiago. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; ArgentinaFil: Díaz, V.. Universidad Nacional del Sur; ArgentinaFil: García-Toraño Andrés, Eduardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; ArgentinaFil: Mestdag, T.. Universiteit Antwerp; Bélgica. University of Ghent; BélgicaIOP Publishing2022-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/220705Capriotti, Santiago; Díaz, V.; García-Toraño Andrés, Eduardo; Mestdag, T.; Cotangent bundle reduction and Routh reduction for polysymplectic manifolds; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 55; 41; 10-2022; 1-361751-8113CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1088/1751-8121/ac91b3info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:33:56Zoai:ri.conicet.gov.ar:11336/220705instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 09:33:56.947CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Cotangent bundle reduction and Routh reduction for polysymplectic manifolds
title Cotangent bundle reduction and Routh reduction for polysymplectic manifolds
spellingShingle Cotangent bundle reduction and Routh reduction for polysymplectic manifolds
Capriotti, Santiago
HAMILTONIAN FIELD THEORY
LAGRANGIAN FIELD THEORY
MOMENTUM MAP
POLYSYMPLECTIC STRUCTURE
ROUTH REDUCTION
SYMMETRY
SYMPLECTIC REDUCTION
title_short Cotangent bundle reduction and Routh reduction for polysymplectic manifolds
title_full Cotangent bundle reduction and Routh reduction for polysymplectic manifolds
title_fullStr Cotangent bundle reduction and Routh reduction for polysymplectic manifolds
title_full_unstemmed Cotangent bundle reduction and Routh reduction for polysymplectic manifolds
title_sort Cotangent bundle reduction and Routh reduction for polysymplectic manifolds
dc.creator.none.fl_str_mv Capriotti, Santiago
Díaz, V.
García-Toraño Andrés, Eduardo
Mestdag, T.
author Capriotti, Santiago
author_facet Capriotti, Santiago
Díaz, V.
García-Toraño Andrés, Eduardo
Mestdag, T.
author_role author
author2 Díaz, V.
García-Toraño Andrés, Eduardo
Mestdag, T.
author2_role author
author
author
dc.subject.none.fl_str_mv HAMILTONIAN FIELD THEORY
LAGRANGIAN FIELD THEORY
MOMENTUM MAP
POLYSYMPLECTIC STRUCTURE
ROUTH REDUCTION
SYMMETRY
SYMPLECTIC REDUCTION
topic HAMILTONIAN FIELD THEORY
LAGRANGIAN FIELD THEORY
MOMENTUM MAP
POLYSYMPLECTIC STRUCTURE
ROUTH REDUCTION
SYMMETRY
SYMPLECTIC REDUCTION
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We discuss Lagrangian and Hamiltonian field theories that are invariant under a symmetry group. We apply the polysymplectic reduction theorem for both types of field equations and we investigate aspects of the corresponding reconstruction process. We identify the polysymplectic structures that lie at the basis of cotangent bundle reduction and Routh reduction in this setting and we relate them by means of the Routhian function and its associated Legendre transformation. Throughout the paper we provide examples that illustrate various aspects of the results.
Fil: Capriotti, Santiago. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
Fil: Díaz, V.. Universidad Nacional del Sur; Argentina
Fil: García-Toraño Andrés, Eduardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
Fil: Mestdag, T.. Universiteit Antwerp; Bélgica. University of Ghent; Bélgica
description We discuss Lagrangian and Hamiltonian field theories that are invariant under a symmetry group. We apply the polysymplectic reduction theorem for both types of field equations and we investigate aspects of the corresponding reconstruction process. We identify the polysymplectic structures that lie at the basis of cotangent bundle reduction and Routh reduction in this setting and we relate them by means of the Routhian function and its associated Legendre transformation. Throughout the paper we provide examples that illustrate various aspects of the results.
publishDate 2022
dc.date.none.fl_str_mv 2022-10
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/220705
Capriotti, Santiago; Díaz, V.; García-Toraño Andrés, Eduardo; Mestdag, T.; Cotangent bundle reduction and Routh reduction for polysymplectic manifolds; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 55; 41; 10-2022; 1-36
1751-8113
CONICET Digital
CONICET
url http://hdl.handle.net/11336/220705
identifier_str_mv Capriotti, Santiago; Díaz, V.; García-Toraño Andrés, Eduardo; Mestdag, T.; Cotangent bundle reduction and Routh reduction for polysymplectic manifolds; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 55; 41; 10-2022; 1-36
1751-8113
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1088/1751-8121/ac91b3
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv IOP Publishing
publisher.none.fl_str_mv IOP Publishing
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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