8 citations · 22 across the 7 of their papers we have counts for
7 papers
Higher Multi-Courant Algebroids
P. Antunes, J. M. Nunes da Costa
The binary bracket of a Courant algebroid structure on can be extended to a -ary bracket on , yielding a multi-Courant algebroid. These $…
-operators on Lie -algebras with respect to Lie -actions
R. Caseiro, J. Nunes da Costa
We define -operators on a Lie -algebra with respect to an action of on another Lie -algebra and we characterize them as Maurer-Cartan elements…
Hypersymplectic structures with torsion on Lie algebroids
P. Antunes, J. M. Nunes da Costa
Hypersymplectic structures with torsion on Lie algebroids are investigated. We show that each hypersymplectic structure with torsion on a Lie algebroid determines three Nijenhuis m…
Hypersymplectic structures on Courant algebroids
P. Antunes, J. M. Nunes da Costa
We introduce the notion of hypersymplectic structure on a Courant algebroid and we prove the existence of a one-to-one correspondence between hypersymplectic and hyperkähler struct…
Nijenhuis forms on -algebras and Poisson geometry
M. J. Azimi, C. Laurent-Gengoux, J. M. Nunes da Costa
We investigate Nijenhuis deformations of -algebras, a notion that unifies several Nijenhuis deformations, namely those of Lie algebras, Lie algebroids, Poisson structures…
Hyperstructures on Lie algebroids
P. Antunes, J. M. Nunes da Costa
We define hypersymplectic structures on Lie algebroids recovering, as particular cases, all the classical results and examples of hypersymplectic structures on manifolds. We prove…
Nijenhuis and Compatible Tensors on Lie and Courant algebroids
Paulo Antunes, Joana M. Nunes da Costa
We show that well known structures on Lie algebroids can be viewed as Nijenhuis tensors or pairs of compatible tensors on Courant algebroids. We study compatibility and construct h…