On the characteristic connection of gwistor space

Detalhes bibliográficos
Autor(a) principal: Albuquerque, Rui
Data de Publicação: 2012
Tipo de documento: Artigo
Idioma: por
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10174/7155
https://doi.org/10.2478/s11533-012-0082-y
Resumo: We give a brief presentation of gwistor space, which is a new concept from G2 geometry. Then we compute the characteristic torsion T^c of the gwistor space of an oriented Riemannian 4-manifold with constant sectional curvature k and deduce the condition under which T^c is ∇^c-parallel; this allows for the classification of the G2 structure with torsion and the characteristic holonomy according to known references. The case with the Einstein base manifold is envisaged.
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spelling On the characteristic connection of gwistor spaceEinstein metriccharacteristic connectiongwistor spaceG2 structureWe give a brief presentation of gwistor space, which is a new concept from G2 geometry. Then we compute the characteristic torsion T^c of the gwistor space of an oriented Riemannian 4-manifold with constant sectional curvature k and deduce the condition under which T^c is ∇^c-parallel; this allows for the classification of the G2 structure with torsion and the characteristic holonomy according to known references. The case with the Einstein base manifold is envisaged.arxiv.org2013-01-10T10:42:22Z2013-01-102012-03-07T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10174/7155http://hdl.handle.net/10174/7155https://doi.org/10.2478/s11533-012-0082-ypor1107.5357v2.pdf1895-107411Central European Journal of Mathematicsrpa@uevora.pt337Albuquerque, Ruiinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-01-03T18:47:11Zoai:dspace.uevora.pt:10174/7155Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:01:46.556914Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv On the characteristic connection of gwistor space
title On the characteristic connection of gwistor space
spellingShingle On the characteristic connection of gwistor space
Albuquerque, Rui
Einstein metric
characteristic connection
gwistor space
G2 structure
title_short On the characteristic connection of gwistor space
title_full On the characteristic connection of gwistor space
title_fullStr On the characteristic connection of gwistor space
title_full_unstemmed On the characteristic connection of gwistor space
title_sort On the characteristic connection of gwistor space
author Albuquerque, Rui
author_facet Albuquerque, Rui
author_role author
dc.contributor.author.fl_str_mv Albuquerque, Rui
dc.subject.por.fl_str_mv Einstein metric
characteristic connection
gwistor space
G2 structure
topic Einstein metric
characteristic connection
gwistor space
G2 structure
description We give a brief presentation of gwistor space, which is a new concept from G2 geometry. Then we compute the characteristic torsion T^c of the gwistor space of an oriented Riemannian 4-manifold with constant sectional curvature k and deduce the condition under which T^c is ∇^c-parallel; this allows for the classification of the G2 structure with torsion and the characteristic holonomy according to known references. The case with the Einstein base manifold is envisaged.
publishDate 2012
dc.date.none.fl_str_mv 2012-03-07T00:00:00Z
2013-01-10T10:42:22Z
2013-01-10
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10174/7155
http://hdl.handle.net/10174/7155
https://doi.org/10.2478/s11533-012-0082-y
url http://hdl.handle.net/10174/7155
https://doi.org/10.2478/s11533-012-0082-y
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv 1107.5357v2.pdf
1895-1074
11
Central European Journal of Mathematics
rpa@uevora.pt
337
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv arxiv.org
publisher.none.fl_str_mv arxiv.org
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
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reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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