Showing math.DGShow all
2 papers · 1 filter
math.DG2025
On three-dimensional Poisson quasi-Nijenhuis manifolds and Haantjes structures
E. Chuño Vizarreta, I. Mencattini, M. Pedroni
In this note we first characterize Poisson quasi-Nijenhuis structures on three-dimensional oriented manifolds whose underlying Poisson tensor never vanishes. We then apply this res…
math.DG2024
Quasi-Lie bialgebroids, Dirac structures and deformations of Poisson quasi-Nijenhuis manifolds
Murilo do Nascimento Luiz, Igor Mencattini, Marco Pedroni
We show how to deform a Poisson quasi-Nijenhuis manifold by means of a closed 2-form. Then we interpret this procedure in the context of quasi-Lie bialgebroids, as a particular cas…