Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/44547
DC Field | Value | Language |
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dc.contributor.author | Antunes, Paulo | - |
dc.contributor.author | Nunes da Costa, Joana Margarida | - |
dc.date.accessioned | 2017-11-23T16:39:39Z | - |
dc.date.issued | 2016 | - |
dc.identifier.uri | https://hdl.handle.net/10316/44547 | - |
dc.description.abstract | Hypersymplectic structures with torsion on Lie algebroids are investigated. We show that each hypersymplectic structure with torsion on a Lie algebroid determines three Nijenhuis morphisms. From a contravariant point of view, these structures are twisted Poisson structures. We prove the existence of a one-to-one correspondence between hypersymplectic structures with torsion and hyperkähler structures with torsion. We show that given a Lie algebroid with a hypersymplectic structure with torsion, the deformation of the Lie algebroid structure by any of the transition morphisms does not affect the hypersymplectic structure with torsion. We also show that if a triplet of 2-forms is a hypersymplectic structure with torsion on a Lie algebroid A, then the triplet of the inverse bivectors is a hypersymplectic structure with torsion for a certain Lie algebroid structure on the dual A*, and conversely. Examples of hypersymplectic structures with torsion are included. | por |
dc.language.iso | eng | por |
dc.publisher | Elsevier | por |
dc.relation | info:eu-repo/grantAgreement/FCT/5876/147205/PT | por |
dc.rights | embargoedAccess | - |
dc.title | Hypersymplectic structures with torsion on Lie algebroids | por |
dc.type | article | - |
degois.publication.firstPage | 39 | por |
degois.publication.lastPage | 53 | por |
degois.publication.title | Journal of Geometry and Physics | por |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S0393044016300055 | por |
dc.peerreviewed | yes | por |
dc.identifier.doi | 10.1016/j.geomphys.2016.01.010 | por |
dc.identifier.doi | 10.1016/j.geomphys.2016.01.010 | - |
degois.publication.volume | 104 | por |
dc.date.embargo | 2019-11-23T16:39:39Z | - |
item.fulltext | Com Texto completo | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.grantfulltext | open | - |
item.languageiso639-1 | en | - |
item.openairetype | article | - |
item.cerifentitytype | Publications | - |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais |
Files in This Item:
File | Description | Size | Format | |
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Antunes_NunesdaCosta_JGP_2016.pdf | 438.08 kB | Adobe PDF | View/Open |
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