On invariants of almost symplectic connections

Detalhes bibliográficos
Autor(a) principal: Albuquerque, Rui
Data de Publicação: 2015
Outros Autores: Picken, Roger
Tipo de documento: Artigo
Idioma: por
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10174/17395
https://doi.org/http://dx.doi.org/10.1007/s11040-015-9180-y
https://doi.org/10.1007/s11040-015-9180-y
Resumo: We study the irreducible decomposition under Sp(2n,R) of the space of torsion tensors of almost symplectic connections. Then a description of all symplectic quadratic invariants of torsion-like tensors is given. When applied to a manifold M with an almost symplectic structure, these instruments give preliminary insight for finding a preferred linear almost symplectic connection on M. We rediscover Ph. Tondeur’s Theorem on almost symplectic connections. Properties of torsion of the vectorial kind are deduced.
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spelling On invariants of almost symplectic connectionsalmost symplecticlinear connectionWe study the irreducible decomposition under Sp(2n,R) of the space of torsion tensors of almost symplectic connections. Then a description of all symplectic quadratic invariants of torsion-like tensors is given. When applied to a manifold M with an almost symplectic structure, these instruments give preliminary insight for finding a preferred linear almost symplectic connection on M. We rediscover Ph. Tondeur’s Theorem on almost symplectic connections. Properties of torsion of the vectorial kind are deduced.FCTSpringer2016-02-17T13:24:15Z2016-02-172015-12-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10174/17395https://doi.org/http://dx.doi.org/10.1007/s11040-015-9180-yhttp://hdl.handle.net/10174/17395https://doi.org/10.1007/s11040-015-9180-yporR. Albuquerque , R. Picken. On Invariants of Almost Symplectic Connections. Mathematical Physics, Analysis and Geometry, 2015, Vol. 18, Issue 1, paper 8.http://arxiv.org/abs/1107.1860rpa@uevora.ptnd337Albuquerque, RuiPicken, Rogerinfo: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:RCAAP2024-01-03T19:04:25Zoai:dspace.uevora.pt:10174/17395Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:09:22.820316Repositório 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 invariants of almost symplectic connections
title On invariants of almost symplectic connections
spellingShingle On invariants of almost symplectic connections
Albuquerque, Rui
almost symplectic
linear connection
title_short On invariants of almost symplectic connections
title_full On invariants of almost symplectic connections
title_fullStr On invariants of almost symplectic connections
title_full_unstemmed On invariants of almost symplectic connections
title_sort On invariants of almost symplectic connections
author Albuquerque, Rui
author_facet Albuquerque, Rui
Picken, Roger
author_role author
author2 Picken, Roger
author2_role author
dc.contributor.author.fl_str_mv Albuquerque, Rui
Picken, Roger
dc.subject.por.fl_str_mv almost symplectic
linear connection
topic almost symplectic
linear connection
description We study the irreducible decomposition under Sp(2n,R) of the space of torsion tensors of almost symplectic connections. Then a description of all symplectic quadratic invariants of torsion-like tensors is given. When applied to a manifold M with an almost symplectic structure, these instruments give preliminary insight for finding a preferred linear almost symplectic connection on M. We rediscover Ph. Tondeur’s Theorem on almost symplectic connections. Properties of torsion of the vectorial kind are deduced.
publishDate 2015
dc.date.none.fl_str_mv 2015-12-01T00:00:00Z
2016-02-17T13:24:15Z
2016-02-17
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/10174/17395
https://doi.org/http://dx.doi.org/10.1007/s11040-015-9180-y
http://hdl.handle.net/10174/17395
https://doi.org/10.1007/s11040-015-9180-y
url http://hdl.handle.net/10174/17395
https://doi.org/http://dx.doi.org/10.1007/s11040-015-9180-y
https://doi.org/10.1007/s11040-015-9180-y
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv R. Albuquerque , R. Picken. On Invariants of Almost Symplectic Connections. Mathematical Physics, Analysis and Geometry, 2015, Vol. 18, Issue 1, paper 8.
http://arxiv.org/abs/1107.1860
rpa@uevora.pt
nd
337
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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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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