The geodesic flow on nilmanifolds associated to graphs

Autores
Ovando, Gabriela Paola
Año de publicación
2020
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study the geodesic flow on nilmanifolds associated to graphs. We are interested in the construction of first integrals to show complete integrability on some compact quotients. We start on the corresponding Lie group equipped with a left-invariant metric, which is induced to the quotients. Also examples of integrable geodesic flows and of non-integrable ones are shown.
Fil: Ovando, Gabriela Paola. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina. Universidad Nacional de Rosario; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Bioquímicas y Farmacéuticas. Departamento de Matemática y Estadística; Argentina
Materia
FIRST INTEGRALS
GEODESIC FLOW
INTEGRABILITY
NILMANIFOLDS
NILPOTENT LIE GROUPS
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:11336/174102
Acceder
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network_name_str CONICET Digital (CONICET)
spelling The geodesic flow on nilmanifolds associated to graphsOvando, Gabriela PaolaFIRST INTEGRALSGEODESIC FLOWINTEGRABILITYNILMANIFOLDSNILPOTENT LIE GROUPShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We study the geodesic flow on nilmanifolds associated to graphs. We are interested in the construction of first integrals to show complete integrability on some compact quotients. We start on the corresponding Lie group equipped with a left-invariant metric, which is induced to the quotients. Also examples of integrable geodesic flows and of non-integrable ones are shown.Fil: Ovando, Gabriela Paola. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina. Universidad Nacional de Rosario; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Bioquímicas y Farmacéuticas. Departamento de Matemática y Estadística; ArgentinaUnión Matemática Argentina2020-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/174102Ovando, Gabriela Paola; The geodesic flow on nilmanifolds associated to graphs; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 61; 2; 12-2020; 315-3380041-69321669-9637CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://inmabb.criba.edu.ar/revuma/revuma.php?p=doi/v61n2a09info:eu-repo/semantics/altIdentifier/doi/10.33044/revuma.v61n2a09info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:42:26Zoai:ri.conicet.gov.ar:11336/174102instacron: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 09:42:26.456CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv The geodesic flow on nilmanifolds associated to graphs
title The geodesic flow on nilmanifolds associated to graphs
spellingShingle The geodesic flow on nilmanifolds associated to graphs
Ovando, Gabriela Paola
FIRST INTEGRALS
GEODESIC FLOW
INTEGRABILITY
NILMANIFOLDS
NILPOTENT LIE GROUPS
title_short The geodesic flow on nilmanifolds associated to graphs
title_full The geodesic flow on nilmanifolds associated to graphs
title_fullStr The geodesic flow on nilmanifolds associated to graphs
title_full_unstemmed The geodesic flow on nilmanifolds associated to graphs
title_sort The geodesic flow on nilmanifolds associated to graphs
dc.creator.none.fl_str_mv Ovando, Gabriela Paola
author Ovando, Gabriela Paola
author_facet Ovando, Gabriela Paola
author_role author
dc.subject.none.fl_str_mv FIRST INTEGRALS
GEODESIC FLOW
INTEGRABILITY
NILMANIFOLDS
NILPOTENT LIE GROUPS
topic FIRST INTEGRALS
GEODESIC FLOW
INTEGRABILITY
NILMANIFOLDS
NILPOTENT LIE GROUPS
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 study the geodesic flow on nilmanifolds associated to graphs. We are interested in the construction of first integrals to show complete integrability on some compact quotients. We start on the corresponding Lie group equipped with a left-invariant metric, which is induced to the quotients. Also examples of integrable geodesic flows and of non-integrable ones are shown.
Fil: Ovando, Gabriela Paola. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina. Universidad Nacional de Rosario; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Bioquímicas y Farmacéuticas. Departamento de Matemática y Estadística; Argentina
description We study the geodesic flow on nilmanifolds associated to graphs. We are interested in the construction of first integrals to show complete integrability on some compact quotients. We start on the corresponding Lie group equipped with a left-invariant metric, which is induced to the quotients. Also examples of integrable geodesic flows and of non-integrable ones are shown.
publishDate 2020
dc.date.none.fl_str_mv 2020-12
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/11336/174102
Ovando, Gabriela Paola; The geodesic flow on nilmanifolds associated to graphs; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 61; 2; 12-2020; 315-338
0041-6932
1669-9637
CONICET Digital
CONICET
url http://hdl.handle.net/11336/174102
identifier_str_mv Ovando, Gabriela Paola; The geodesic flow on nilmanifolds associated to graphs; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 61; 2; 12-2020; 315-338
0041-6932
1669-9637
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://inmabb.criba.edu.ar/revuma/revuma.php?p=doi/v61n2a09
info:eu-repo/semantics/altIdentifier/doi/10.33044/revuma.v61n2a09
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
dc.publisher.none.fl_str_mv Unión Matemática Argentina
publisher.none.fl_str_mv Unión Matemática Argentina
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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