Invariant conformal Killing forms on almost abelian Lie groups

Autores
Herrera, Andrea Cecilia; Origlia, Marcos Miguel
Año de publicación
2025
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We describe completely conformal Killing or conformal Killing-Yano (CKY) -forms on almost abelian metric Lie algebras. In particular we prove that if a -dimensional almost abelian metric Lie algebra admits a non-parallel CKY -form, then or . In other words, any CKY -form on a metric almost abelian Lie algebra is parallel for . Moreover, we characterize almost abelian Lie algebras admitting non-parallel CKY -forms, and we classify all Lie algebras with this property up to dimension , distinguishing also those cases where the associated simply connected Lie group admits lattices.
Fil: Herrera, Andrea Cecilia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
Fil: Origlia, Marcos Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
Materia
Lie algebras
Conforme Killing
Solvmanifold
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:11336/280168
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/280168
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Invariant conformal Killing forms on almost abelian Lie groupsHerrera, Andrea CeciliaOriglia, Marcos MiguelLie algebrasConforme KillingSolvmanifoldhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We describe completely conformal Killing or conformal Killing-Yano (CKY) -forms on almost abelian metric Lie algebras. In particular we prove that if a -dimensional almost abelian metric Lie algebra admits a non-parallel CKY -form, then or . In other words, any CKY -form on a metric almost abelian Lie algebra is parallel for . Moreover, we characterize almost abelian Lie algebras admitting non-parallel CKY -forms, and we classify all Lie algebras with this property up to dimension , distinguishing also those cases where the associated simply connected Lie group admits lattices.Fil: Herrera, Andrea Cecilia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; ArgentinaFil: Origlia, Marcos Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; ArgentinaUniversidad de Barcelona2025-02info: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/11336/280168Herrera, Andrea Cecilia; Origlia, Marcos Miguel; Invariant conformal Killing forms on almost abelian Lie groups; Universidad de Barcelona; Collectanea Mathematica; 2-2025; 1-150010-0757CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/ark/https://link.springer.com/article/10.1007/s13348-025-00468-winfo:eu-repo/semantics/altIdentifier/doi/10.1007/s13348-025-00468-winfo:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/2402.09229info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-02-26T10:12:20Zoai:ri.conicet.gov.ar:11336/280168instacron: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:34982026-02-26 10:12:21.101CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Invariant conformal Killing forms on almost abelian Lie groups
title Invariant conformal Killing forms on almost abelian Lie groups
spellingShingle Invariant conformal Killing forms on almost abelian Lie groups
Herrera, Andrea Cecilia
Lie algebras
Conforme Killing
Solvmanifold
title_short Invariant conformal Killing forms on almost abelian Lie groups
title_full Invariant conformal Killing forms on almost abelian Lie groups
title_fullStr Invariant conformal Killing forms on almost abelian Lie groups
title_full_unstemmed Invariant conformal Killing forms on almost abelian Lie groups
title_sort Invariant conformal Killing forms on almost abelian Lie groups
dc.creator.none.fl_str_mv Herrera, Andrea Cecilia
Origlia, Marcos Miguel
author Herrera, Andrea Cecilia
author_facet Herrera, Andrea Cecilia
Origlia, Marcos Miguel
author_role author
author2 Origlia, Marcos Miguel
author2_role author
dc.subject.none.fl_str_mv Lie algebras
Conforme Killing
Solvmanifold
topic Lie algebras
Conforme Killing
Solvmanifold
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 describe completely conformal Killing or conformal Killing-Yano (CKY) -forms on almost abelian metric Lie algebras. In particular we prove that if a -dimensional almost abelian metric Lie algebra admits a non-parallel CKY -form, then or . In other words, any CKY -form on a metric almost abelian Lie algebra is parallel for . Moreover, we characterize almost abelian Lie algebras admitting non-parallel CKY -forms, and we classify all Lie algebras with this property up to dimension , distinguishing also those cases where the associated simply connected Lie group admits lattices.
Fil: Herrera, Andrea Cecilia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
Fil: Origlia, Marcos Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
description We describe completely conformal Killing or conformal Killing-Yano (CKY) -forms on almost abelian metric Lie algebras. In particular we prove that if a -dimensional almost abelian metric Lie algebra admits a non-parallel CKY -form, then or . In other words, any CKY -form on a metric almost abelian Lie algebra is parallel for . Moreover, we characterize almost abelian Lie algebras admitting non-parallel CKY -forms, and we classify all Lie algebras with this property up to dimension , distinguishing also those cases where the associated simply connected Lie group admits lattices.
publishDate 2025
dc.date.none.fl_str_mv 2025-02
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/11336/280168
Herrera, Andrea Cecilia; Origlia, Marcos Miguel; Invariant conformal Killing forms on almost abelian Lie groups; Universidad de Barcelona; Collectanea Mathematica; 2-2025; 1-15
0010-0757
CONICET Digital
CONICET
url http://hdl.handle.net/11336/280168
identifier_str_mv Herrera, Andrea Cecilia; Origlia, Marcos Miguel; Invariant conformal Killing forms on almost abelian Lie groups; Universidad de Barcelona; Collectanea Mathematica; 2-2025; 1-15
0010-0757
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/ark/https://link.springer.com/article/10.1007/s13348-025-00468-w
info:eu-repo/semantics/altIdentifier/doi/10.1007/s13348-025-00468-w
info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/2402.09229
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 Universidad de Barcelona
publisher.none.fl_str_mv Universidad de Barcelona
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 13.176822

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