Affiliation:
1. CMUC, Department of Mathematics, University of Coimbra, 3001-454 Coimbra, Portugal
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 hyperkähler structures. We show that the hypersymplectic framework is very rich in already known compatible pairs of tensors such as Poisson–Nijenhuis, ΩN and PΩ structures.
Publisher
World Scientific Pub Co Pte Lt
Subject
Mathematical Physics,Statistical and Nonlinear Physics
Reference9 articles.
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2. Jacobian quasi-bialgebras and quasi-Poisson Lie groups
3. Compatible Structures on Lie Algebroids and Monge-Ampère Operators
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