18 citations · 27 across the 5 of their papers we have counts for
5 papers
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 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…
Hierarchies and compatibility on Courant algebroids
Paulo Antunes, Camille Laurent-Gengoux, Joana M. Nunes da Costa
We extend to the context of Courant algebroids several hierarchies that can be constructed on Poisson-Nijenhuis manifolds. More precisely, we introduce several notions (Poisson-Nij…
Jacobi structures in supergeometric formalism
Paulo dos Santos Antunes, Camille Laurent-Gengoux
We use the supergeometric formalism, more precisely, the so-called "big bracket" (for which brackets and anchors are encoded by functions on some graded symplectic manifold) to add…
Poisson quasi-Nijenhuis structures with background
Paulo Antunes
We define the Poisson quasi-Nijenhuis structures with background on Lie algebroids and we prove that to any generalized complex structure on a Courant algebroid which is the double…