Induced hypersymplectic and hyperkähler structures on the dual of a Lie algebroid
| Autor(a) principal: | |
|---|---|
| Data de Publicação: | 2014 |
| 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/10316/44545 https://doi.org/10.1142/S0219887814600305 |
Resumo: | We show that every hypersymplectic structure on a Lie algebroid A determines a hypersymplectic and a hyperkähler structure on the dual A*. This result is illustrated with an example on the Lie algebroid T(H^3 × I), where H^3 is the Heisenberg group. |
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Induced hypersymplectic and hyperkähler structures on the dual of a Lie algebroidWe show that every hypersymplectic structure on a Lie algebroid A determines a hypersymplectic and a hyperkähler structure on the dual A*. This result is illustrated with an example on the Lie algebroid T(H^3 × I), where H^3 is the Heisenberg group.World Scientific Publishing2014info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/44545http://hdl.handle.net/10316/44545https://doi.org/10.1142/S0219887814600305https://doi.org/10.1142/S0219887814600305enghttp://www.worldscientific.com/doi/abs/10.1142/S0219887814600305Antunes, PauloNunes da Costa, Joana Margaridainfo: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:10316/44545Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:53:24.583331Repositório 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 |
Induced hypersymplectic and hyperkähler structures on the dual of a Lie algebroid |
| title |
Induced hypersymplectic and hyperkähler structures on the dual of a Lie algebroid |
| spellingShingle |
Induced hypersymplectic and hyperkähler structures on the dual of a Lie algebroid Antunes, Paulo |
| title_short |
Induced hypersymplectic and hyperkähler structures on the dual of a Lie algebroid |
| title_full |
Induced hypersymplectic and hyperkähler structures on the dual of a Lie algebroid |
| title_fullStr |
Induced hypersymplectic and hyperkähler structures on the dual of a Lie algebroid |
| title_full_unstemmed |
Induced hypersymplectic and hyperkähler structures on the dual of a Lie algebroid |
| title_sort |
Induced hypersymplectic and hyperkähler structures on the dual of a Lie algebroid |
| author |
Antunes, Paulo |
| author_facet |
Antunes, Paulo Nunes da Costa, Joana Margarida |
| author_role |
author |
| author2 |
Nunes da Costa, Joana Margarida |
| author2_role |
author |
| dc.contributor.author.fl_str_mv |
Antunes, Paulo Nunes da Costa, Joana Margarida |
| description |
We show that every hypersymplectic structure on a Lie algebroid A determines a hypersymplectic and a hyperkähler structure on the dual A*. This result is illustrated with an example on the Lie algebroid T(H^3 × I), where H^3 is the Heisenberg group. |
| publishDate |
2014 |
| dc.date.none.fl_str_mv |
2014 |
| 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/10316/44545 http://hdl.handle.net/10316/44545 https://doi.org/10.1142/S0219887814600305 https://doi.org/10.1142/S0219887814600305 |
| url |
http://hdl.handle.net/10316/44545 https://doi.org/10.1142/S0219887814600305 |
| dc.language.iso.fl_str_mv |
eng |
| language |
eng |
| dc.relation.none.fl_str_mv |
http://www.worldscientific.com/doi/abs/10.1142/S0219887814600305 |
| 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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