Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/44529
Title: | Hyperstructures on Lie algebroids | Authors: | Antunes, Paulo Nunes da Costa, Joana |
Issue Date: | 2013 | Publisher: | World Scientific Publishing | Project: | PEst-C/MAT/UI0324/2011 | Serial title, monograph or event: | Reviews in Mathematical Physics | Volume: | 25 | Issue: | 10 | Abstract: | 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. | URI: | https://hdl.handle.net/10316/44529 | DOI: | 10.1142/S0129055X13430034 10.1142/S0129055X13430034 |
Rights: | embargoedAccess |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais |
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Antunes_NunesdaCosta_Rev_Math_Phys.pdf | 225.2 kB | Adobe PDF | View/Open |
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