Hyperstructures on Lie algebroids
| Autor(a) principal: | |
|---|---|
| Data de Publicação: | 2013 |
| Outros Autores: | |
| Tipo de documento: | Artigo |
| Idioma: | eng |
| Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
| Texto Completo: | http://hdl.handle.net/10316/44529 https://doi.org/10.1142/S0129055X13430034 |
Resumo: | We define hypersymplectic structures on Lie algebroids recovering, as particular cases, all the classical results and examples of hypersymplectic structures on manifolds. We prove a 1-1 correspondence theorem between hypersymplectic structures and (pseudo-)hyperk\"{a}hler structures. We show that the hypersymplectic framework is very rich in already known compatible pairs of tensors such as Poisson-Nijenhuis, $\Omega N$ and $P \Omega$ structures. |
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Hyperstructures on Lie algebroidsWe define hypersymplectic structures on Lie algebroids recovering, as particular cases, all the classical results and examples of hypersymplectic structures on manifolds. We prove a 1-1 correspondence theorem between hypersymplectic structures and (pseudo-)hyperk\"{a}hler structures. We show that the hypersymplectic framework is very rich in already known compatible pairs of tensors such as Poisson-Nijenhuis, $\Omega N$ and $P \Omega$ structures.World Scientific Publishing2013info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/44529http://hdl.handle.net/10316/44529https://doi.org/10.1142/S0129055X13430034https://doi.org/10.1142/S0129055X13430034enghttp://www.worldscientific.com/doi/abs/10.1142/S0129055X13430034Antunes, PauloNunes da Costa, Joanainfo: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:RCAAP2021-06-29T10:03:20Zoai:estudogeral.uc.pt:10316/44529Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:53:24.036721Repositório 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 |
Hyperstructures on Lie algebroids |
| title |
Hyperstructures on Lie algebroids |
| spellingShingle |
Hyperstructures on Lie algebroids Antunes, Paulo |
| title_short |
Hyperstructures on Lie algebroids |
| title_full |
Hyperstructures on Lie algebroids |
| title_fullStr |
Hyperstructures on Lie algebroids |
| title_full_unstemmed |
Hyperstructures on Lie algebroids |
| title_sort |
Hyperstructures on Lie algebroids |
| author |
Antunes, Paulo |
| author_facet |
Antunes, Paulo Nunes da Costa, Joana |
| author_role |
author |
| author2 |
Nunes da Costa, Joana |
| author2_role |
author |
| dc.contributor.author.fl_str_mv |
Antunes, Paulo Nunes da Costa, Joana |
| description |
We define hypersymplectic structures on Lie algebroids recovering, as particular cases, all the classical results and examples of hypersymplectic structures on manifolds. We prove a 1-1 correspondence theorem between hypersymplectic structures and (pseudo-)hyperk\"{a}hler structures. We show that the hypersymplectic framework is very rich in already known compatible pairs of tensors such as Poisson-Nijenhuis, $\Omega N$ and $P \Omega$ structures. |
| publishDate |
2013 |
| dc.date.none.fl_str_mv |
2013 |
| dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
| dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
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article |
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publishedVersion |
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http://hdl.handle.net/10316/44529 http://hdl.handle.net/10316/44529 https://doi.org/10.1142/S0129055X13430034 https://doi.org/10.1142/S0129055X13430034 |
| url |
http://hdl.handle.net/10316/44529 https://doi.org/10.1142/S0129055X13430034 |
| dc.language.iso.fl_str_mv |
eng |
| language |
eng |
| dc.relation.none.fl_str_mv |
http://www.worldscientific.com/doi/abs/10.1142/S0129055X13430034 |
| dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
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openAccess |
| dc.publisher.none.fl_str_mv |
World Scientific Publishing |
| publisher.none.fl_str_mv |
World Scientific Publishing |
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reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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1799133821113729024 |