Routh reduction and Cartan mechanics

Autores
Capriotti, Santiago
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In the present work a Cartan mechanics version for Routh reduction is considered, as an intermediate step towards Routh reduction in field theory. Motivation for this generalization comes from a scheme for integrable systems (Fehér and Gábor, 2002), used for understanding the occurrence of Toda field theories in so called Hamiltonian reduction of WZNW field theories (Fehér et al., 1992). As a way to accomplish with this intermediate aim, this article also contains a formulation of the Lagrangian Adler–Kostant–Symes systems discussed in Fehér and Gábor (2002) in terms of Routh reduction.
Fil: Capriotti, Santiago. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Matemática; Argentina
Materia
INTEGRABLE SYSTEMS
LEPAGE-EQUIVALENT PROBLEMS
POINCAR–CARTAN FORMS
ROUTH REDUCTION
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/51188
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Routh reduction and Cartan mechanicsCapriotti, SantiagoINTEGRABLE SYSTEMSLEPAGE-EQUIVALENT PROBLEMSPOINCAR–CARTAN FORMSROUTH REDUCTIONhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In the present work a Cartan mechanics version for Routh reduction is considered, as an intermediate step towards Routh reduction in field theory. Motivation for this generalization comes from a scheme for integrable systems (Fehér and Gábor, 2002), used for understanding the occurrence of Toda field theories in so called Hamiltonian reduction of WZNW field theories (Fehér et al., 1992). As a way to accomplish with this intermediate aim, this article also contains a formulation of the Lagrangian Adler–Kostant–Symes systems discussed in Fehér and Gábor (2002) in terms of Routh reduction.Fil: Capriotti, Santiago. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Matemática; ArgentinaElsevier Science2017-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/51188Capriotti, Santiago; Routh reduction and Cartan mechanics; Elsevier Science; Journal Of Geometry And Physics; 114; 4-2017; 23-640393-0440CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.geomphys.2016.11.015info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0393044016302959info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1606.02630info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:33:28Zoai:ri.conicet.gov.ar:11336/51188instacron: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 10:33:28.749CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Routh reduction and Cartan mechanics
title Routh reduction and Cartan mechanics
spellingShingle Routh reduction and Cartan mechanics
Capriotti, Santiago
INTEGRABLE SYSTEMS
LEPAGE-EQUIVALENT PROBLEMS
POINCAR–CARTAN FORMS
ROUTH REDUCTION
title_short Routh reduction and Cartan mechanics
title_full Routh reduction and Cartan mechanics
title_fullStr Routh reduction and Cartan mechanics
title_full_unstemmed Routh reduction and Cartan mechanics
title_sort Routh reduction and Cartan mechanics
dc.creator.none.fl_str_mv Capriotti, Santiago
author Capriotti, Santiago
author_facet Capriotti, Santiago
author_role author
dc.subject.none.fl_str_mv INTEGRABLE SYSTEMS
LEPAGE-EQUIVALENT PROBLEMS
POINCAR–CARTAN FORMS
ROUTH REDUCTION
topic INTEGRABLE SYSTEMS
LEPAGE-EQUIVALENT PROBLEMS
POINCAR–CARTAN FORMS
ROUTH 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 In the present work a Cartan mechanics version for Routh reduction is considered, as an intermediate step towards Routh reduction in field theory. Motivation for this generalization comes from a scheme for integrable systems (Fehér and Gábor, 2002), used for understanding the occurrence of Toda field theories in so called Hamiltonian reduction of WZNW field theories (Fehér et al., 1992). As a way to accomplish with this intermediate aim, this article also contains a formulation of the Lagrangian Adler–Kostant–Symes systems discussed in Fehér and Gábor (2002) in terms of Routh reduction.
Fil: Capriotti, Santiago. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Matemática; Argentina
description In the present work a Cartan mechanics version for Routh reduction is considered, as an intermediate step towards Routh reduction in field theory. Motivation for this generalization comes from a scheme for integrable systems (Fehér and Gábor, 2002), used for understanding the occurrence of Toda field theories in so called Hamiltonian reduction of WZNW field theories (Fehér et al., 1992). As a way to accomplish with this intermediate aim, this article also contains a formulation of the Lagrangian Adler–Kostant–Symes systems discussed in Fehér and Gábor (2002) in terms of Routh reduction.
publishDate 2017
dc.date.none.fl_str_mv 2017-04
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/11336/51188
Capriotti, Santiago; Routh reduction and Cartan mechanics; Elsevier Science; Journal Of Geometry And Physics; 114; 4-2017; 23-64
0393-0440
CONICET Digital
CONICET
url http://hdl.handle.net/11336/51188
identifier_str_mv Capriotti, Santiago; Routh reduction and Cartan mechanics; Elsevier Science; Journal Of Geometry And Physics; 114; 4-2017; 23-64
0393-0440
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.geomphys.2016.11.015
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0393044016302959
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1606.02630
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science
publisher.none.fl_str_mv Elsevier Science
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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