Reduction of Homogeneous Pseudo-Kähler Structures by One-Dimensional Fibers

We study the reduction procedure applied to pseudo-Kähler manifolds by a one dimensional Lie group acting by isometries and preserving the complex tensor. We endow the quotient manifold with an almost contact metric structure. We use this fact to connect pseudo-Kähler homogeneous structures with alm...

ver descrição completa

Detalhes bibliográficos
Autores: Carmona Jiménez, J. L., Castrillón López, Marco
Formato: artículo
Fecha de publicación:2020
País:España
Recursos:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/7296
Acesso em linha:https://hdl.handle.net/20.500.14352/7296
Access Level:acceso abierto
Palavra-chave:512
Ambrose–Singer connections
almost contact metric manifolds
homogeneous manifolds
homogeneous structures
pseudo-Kähler manifolds
pseudo-Riemannian metric
Álgebra
1201 Álgebra
id ES_30d6d04ddc9a97be69ea7ff1528697e2
oai_identifier_str oai:docta.ucm.es:20.500.14352/7296
network_acronym_str ES
network_name_str España
repository_id_str
spelling Reduction of Homogeneous Pseudo-Kähler Structures by One-Dimensional FibersCarmona Jiménez, J. L.Castrillón López, Marco512Ambrose–Singer connectionsalmost contact metric manifoldshomogeneous manifoldshomogeneous structurespseudo-Kähler manifoldspseudo-Riemannian metricÁlgebra1201 ÁlgebraWe study the reduction procedure applied to pseudo-Kähler manifolds by a one dimensional Lie group acting by isometries and preserving the complex tensor. We endow the quotient manifold with an almost contact metric structure. We use this fact to connect pseudo-Kähler homogeneous structures with almost contact metric homogeneous structures. This relation will have consequences in the class of the almost contact manifold. Indeed, if we choose a pseudo-Kähler homogeneous structure of linear type, then the reduced, almost contact homogeneous structure is of linear type and the reduced manifold is of type C5⊕C6⊕C12 of Chinea-González classification.MDPIUniversidad Complutense de Madrid20202020-08-0120202020-08-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/7296reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Atribución 3.0 Españahttps://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/72962026-06-02T12:44:21Z
dc.title.none.fl_str_mv Reduction of Homogeneous Pseudo-Kähler Structures by One-Dimensional Fibers
title Reduction of Homogeneous Pseudo-Kähler Structures by One-Dimensional Fibers
spellingShingle Reduction of Homogeneous Pseudo-Kähler Structures by One-Dimensional Fibers
Carmona Jiménez, J. L.
512
Ambrose–Singer connections
almost contact metric manifolds
homogeneous manifolds
homogeneous structures
pseudo-Kähler manifolds
pseudo-Riemannian metric
Álgebra
1201 Álgebra
title_short Reduction of Homogeneous Pseudo-Kähler Structures by One-Dimensional Fibers
title_full Reduction of Homogeneous Pseudo-Kähler Structures by One-Dimensional Fibers
title_fullStr Reduction of Homogeneous Pseudo-Kähler Structures by One-Dimensional Fibers
title_full_unstemmed Reduction of Homogeneous Pseudo-Kähler Structures by One-Dimensional Fibers
title_sort Reduction of Homogeneous Pseudo-Kähler Structures by One-Dimensional Fibers
dc.creator.none.fl_str_mv Carmona Jiménez, J. L.
Castrillón López, Marco
author Carmona Jiménez, J. L.
author_facet Carmona Jiménez, J. L.
Castrillón López, Marco
author_role author
author2 Castrillón López, Marco
author2_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 512
Ambrose–Singer connections
almost contact metric manifolds
homogeneous manifolds
homogeneous structures
pseudo-Kähler manifolds
pseudo-Riemannian metric
Álgebra
1201 Álgebra
topic 512
Ambrose–Singer connections
almost contact metric manifolds
homogeneous manifolds
homogeneous structures
pseudo-Kähler manifolds
pseudo-Riemannian metric
Álgebra
1201 Álgebra
description We study the reduction procedure applied to pseudo-Kähler manifolds by a one dimensional Lie group acting by isometries and preserving the complex tensor. We endow the quotient manifold with an almost contact metric structure. We use this fact to connect pseudo-Kähler homogeneous structures with almost contact metric homogeneous structures. This relation will have consequences in the class of the almost contact manifold. Indeed, if we choose a pseudo-Kähler homogeneous structure of linear type, then the reduced, almost contact homogeneous structure is of linear type and the reduced manifold is of type C5⊕C6⊕C12 of Chinea-González classification.
publishDate 2020
dc.date.none.fl_str_mv 2020
2020-08-01
2020
2020-08-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/7296
url https://hdl.handle.net/20.500.14352/7296
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Atribución 3.0 España
https://creativecommons.org/licenses/by/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Atribución 3.0 España
https://creativecommons.org/licenses/by/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv MDPI
publisher.none.fl_str_mv MDPI
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869405571561553920
score 15.300719

Registos relacionados