Vaisman solvmanifolds and relations with other geometric structures

Autores
Andrada, Adrián Marcelo; Origlia, Marcos Miguel
Año de publicación
2020
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We characterize unimodular solvable Lie algebras with Vaisman structures in terms of Kahler flat Lie algebras equipped with a suitable derivation. Using this characterization we obtain algebraic restrictions for the existence of Vaisman structures and we establish some relations with other geometric notions, such as Sasakian, coKahler and left-symmetric algebra structures. Applying these results we construct families of Lie algebras and Lie groups admitting a Vaisman structure and we show the existence of lattices in some of these families, obtaining in this way many examples of new solvmanifolds equipped with invariant Vaisman structures.
Fil: Andrada, Adrián Marcelo. 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. KU Leuven Kulak; Bélgica
Materia
LATTICE
LOCALLY CONFORMALLY KÄHLER STRUCTURE
SOLVABLE LIE GROUP
SOLVMANIFOLD
VAISMAN STRUCTURE
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:11336/143327
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/143327
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Vaisman solvmanifolds and relations with other geometric structuresAndrada, Adrián MarceloOriglia, Marcos MiguelLATTICELOCALLY CONFORMALLY KÄHLER STRUCTURESOLVABLE LIE GROUPSOLVMANIFOLDVAISMAN STRUCTUREhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We characterize unimodular solvable Lie algebras with Vaisman structures in terms of Kahler flat Lie algebras equipped with a suitable derivation. Using this characterization we obtain algebraic restrictions for the existence of Vaisman structures and we establish some relations with other geometric notions, such as Sasakian, coKahler and left-symmetric algebra structures. Applying these results we construct families of Lie algebras and Lie groups admitting a Vaisman structure and we show the existence of lattices in some of these families, obtaining in this way many examples of new solvmanifolds equipped with invariant Vaisman structures.Fil: Andrada, Adrián Marcelo. 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; 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; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. KU Leuven Kulak; BélgicaInternational Press Boston2020-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/143327Andrada, Adrián Marcelo; Origlia, Marcos Miguel; Vaisman solvmanifolds and relations with other geometric structures; International Press Boston; Asian Journal of Mathematics; 24; 1; 2-2020; 117-1461093-61061945-0036CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.4310/AJM.2020.v24.n1.a5info:eu-repo/semantics/altIdentifier/url/https://www.intlpress.com/site/pub/pages/journals/items/ajm/content/vols/0024/0001/a005/info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:49:44Zoai:ri.conicet.gov.ar:11336/143327instacron: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 09:49:45.197CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Vaisman solvmanifolds and relations with other geometric structures
title Vaisman solvmanifolds and relations with other geometric structures
spellingShingle Vaisman solvmanifolds and relations with other geometric structures
Andrada, Adrián Marcelo
LATTICE
LOCALLY CONFORMALLY KÄHLER STRUCTURE
SOLVABLE LIE GROUP
SOLVMANIFOLD
VAISMAN STRUCTURE
title_short Vaisman solvmanifolds and relations with other geometric structures
title_full Vaisman solvmanifolds and relations with other geometric structures
title_fullStr Vaisman solvmanifolds and relations with other geometric structures
title_full_unstemmed Vaisman solvmanifolds and relations with other geometric structures
title_sort Vaisman solvmanifolds and relations with other geometric structures
dc.creator.none.fl_str_mv Andrada, Adrián Marcelo
Origlia, Marcos Miguel
author Andrada, Adrián Marcelo
author_facet Andrada, Adrián Marcelo
Origlia, Marcos Miguel
author_role author
author2 Origlia, Marcos Miguel
author2_role author
dc.subject.none.fl_str_mv LATTICE
LOCALLY CONFORMALLY KÄHLER STRUCTURE
SOLVABLE LIE GROUP
SOLVMANIFOLD
VAISMAN STRUCTURE
topic LATTICE
LOCALLY CONFORMALLY KÄHLER STRUCTURE
SOLVABLE LIE GROUP
SOLVMANIFOLD
VAISMAN STRUCTURE
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 characterize unimodular solvable Lie algebras with Vaisman structures in terms of Kahler flat Lie algebras equipped with a suitable derivation. Using this characterization we obtain algebraic restrictions for the existence of Vaisman structures and we establish some relations with other geometric notions, such as Sasakian, coKahler and left-symmetric algebra structures. Applying these results we construct families of Lie algebras and Lie groups admitting a Vaisman structure and we show the existence of lattices in some of these families, obtaining in this way many examples of new solvmanifolds equipped with invariant Vaisman structures.
Fil: Andrada, Adrián Marcelo. 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. KU Leuven Kulak; Bélgica
description We characterize unimodular solvable Lie algebras with Vaisman structures in terms of Kahler flat Lie algebras equipped with a suitable derivation. Using this characterization we obtain algebraic restrictions for the existence of Vaisman structures and we establish some relations with other geometric notions, such as Sasakian, coKahler and left-symmetric algebra structures. Applying these results we construct families of Lie algebras and Lie groups admitting a Vaisman structure and we show the existence of lattices in some of these families, obtaining in this way many examples of new solvmanifolds equipped with invariant Vaisman structures.
publishDate 2020
dc.date.none.fl_str_mv 2020-02
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/11336/143327
Andrada, Adrián Marcelo; Origlia, Marcos Miguel; Vaisman solvmanifolds and relations with other geometric structures; International Press Boston; Asian Journal of Mathematics; 24; 1; 2-2020; 117-146
1093-6106
1945-0036
CONICET Digital
CONICET
url http://hdl.handle.net/11336/143327
identifier_str_mv Andrada, Adrián Marcelo; Origlia, Marcos Miguel; Vaisman solvmanifolds and relations with other geometric structures; International Press Boston; Asian Journal of Mathematics; 24; 1; 2-2020; 117-146
1093-6106
1945-0036
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.4310/AJM.2020.v24.n1.a5
info:eu-repo/semantics/altIdentifier/url/https://www.intlpress.com/site/pub/pages/journals/items/ajm/content/vols/0024/0001/a005/
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 International Press Boston
publisher.none.fl_str_mv International Press Boston
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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