6 citations · 15 across the 6 of their papers we have counts for
6 papers
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…
On Jacobi quasi-Nijenhuis algebroids and Courant-Jacobi algebroid morphisms
Raquel Caseiro, Antonio De Nicola, Joana M. Nunes da Costa
We propose a definition of Jacobi quasi-Nijenhuis algebroid and show that any such Jacobi algebroid has an associated quasi-Jacobi bialgebroid. Therefore, also an associated Couran…
Reduction and construction of Poisson quasi-Nijenhuis manifolds with background
Flavio Cordeiro, Joana M. Nunes da Costa
We extend the Falceto-Zambon version of Marsden-Ratiu Poisson reduction to Poisson quasi-Nijenhuis structures with background on manifolds. We define gauge transformations of Poiss…
On Poisson quasi-Nijenhuis Lie algebroids
Raquel Caseiro, Antonio De Nicola, Joana M. Nunes da Costa
We propose a definition of Poisson quasi-Nijenhuis Lie algebroids as a natural generalization of Poisson quasi-Nijenhuis manifolds and show that any such Lie algebroid has an assoc…
Dirac structures for generalized Courant and Courant algebroids
Fani Petalidou, Joana M. Nunes da Costa
We establish some fundamental relations between Dirac subbundles for the generalized Courant algebroid over a differentiable manifold and the asso…
Reduction of Jacobi manifolds via Dirac structures theory
Fani Petalidou, Joana M. Nunes da Costa
We first recall some basic definitions and facts about Jacobi manifolds, generalized Lie bialgebroids, generalized Courant algebroids and Dirac structures. We establish an one-one…