The Killing–Yano equation on Lie groups

In this paper we study 2-forms which are solutions of the Killing–Yano equation on Lie groups endowed with a left invariant metric having various curvature properties. We prove a general result for 2-step nilpotent Lie groups and as a corollary we obtain a nondegenerate solution of the Killing–Yano...

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Detalles Bibliográficos
Autores: Barberis, Maria Laura Rita, Dotti, Isabel Graciela, Santillán, Osvaldo Pablo
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2012
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/19887
Acceso en línea:http://hdl.handle.net/11336/19887
Access Level:acceso abierto
Palabra clave:Killing-Yano
Invariant
First Integrals
Geodesic Equation
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
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spelling The Killing–Yano equation on Lie groupsBarberis, Maria Laura RitaDotti, Isabel GracielaSantillán, Osvaldo PabloKilling-YanoInvariantFirst IntegralsGeodesic Equationhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this paper we study 2-forms which are solutions of the Killing–Yano equation on Lie groups endowed with a left invariant metric having various curvature properties. We prove a general result for 2-step nilpotent Lie groups and as a corollary we obtain a nondegenerate solution of the Killing–Yano equation on the Iwasawa manifold with its half-flat metric.Fil: Barberis, Maria Laura Rita. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Dotti, Isabel Graciela. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Santillán, Osvaldo Pablo. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaIOP Publishing2012-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/19887Barberis, Maria Laura Rita; Dotti, Isabel Graciela; Santillán, Osvaldo Pablo; The Killing–Yano equation on Lie groups; IOP Publishing; Classical and Quantum Gravity; 29; 6; 2-2012; 1-11; 0650040264-9381CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1088/0264-9381/29/6/065004info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1088/0264-9381/29/6/065004info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2024-05-08T14:17:15Zoai:ri.conicet.gov.ar:11336/19887instacron: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:34982024-05-08 14:17:15.439CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv The Killing–Yano equation on Lie groups
title The Killing–Yano equation on Lie groups
spellingShingle The Killing–Yano equation on Lie groups
Barberis, Maria Laura Rita
Killing-Yano
Invariant
First Integrals
Geodesic Equation
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
title_short The Killing–Yano equation on Lie groups
title_full The Killing–Yano equation on Lie groups
title_fullStr The Killing–Yano equation on Lie groups
title_full_unstemmed The Killing–Yano equation on Lie groups
title_sort The Killing–Yano equation on Lie groups
dc.creator.none.fl_str_mv Barberis, Maria Laura Rita
Dotti, Isabel Graciela
Santillán, Osvaldo Pablo
author Barberis, Maria Laura Rita
author_facet Barberis, Maria Laura Rita
Dotti, Isabel Graciela
Santillán, Osvaldo Pablo
author_role author
author2 Dotti, Isabel Graciela
Santillán, Osvaldo Pablo
author2_role author
author
dc.subject.none.fl_str_mv Killing-Yano
Invariant
First Integrals
Geodesic Equation
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
topic Killing-Yano
Invariant
First Integrals
Geodesic Equation
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
description In this paper we study 2-forms which are solutions of the Killing–Yano equation on Lie groups endowed with a left invariant metric having various curvature properties. We prove a general result for 2-step nilpotent Lie groups and as a corollary we obtain a nondegenerate solution of the Killing–Yano equation on the Iwasawa manifold with its half-flat metric.
publishDate 2012
dc.date.none.fl_str_mv 2012-02
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/11336/19887
Barberis, Maria Laura Rita; Dotti, Isabel Graciela; Santillán, Osvaldo Pablo; The Killing–Yano equation on Lie groups; IOP Publishing; Classical and Quantum Gravity; 29; 6; 2-2012; 1-11; 065004
0264-9381
CONICET Digital
CONICET
url http://hdl.handle.net/11336/19887
identifier_str_mv Barberis, Maria Laura Rita; Dotti, Isabel Graciela; Santillán, Osvaldo Pablo; The Killing–Yano equation on Lie groups; IOP Publishing; Classical and Quantum Gravity; 29; 6; 2-2012; 1-11; 065004
0264-9381
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1088/0264-9381/29/6/065004
info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1088/0264-9381/29/6/065004
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
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
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
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 15,811543

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