4 papers
Concurring reduction schemes for Dirac structures
Dan Aguero, Alessandro Arsie, Pedro Frejlich +1
The notion of \emph{concurrence} was recently proposed as the natural compatibility relation between Dirac structures, generalizing the commutativity of two Poisson structures. We…
An involutivity theorem for a class of Poisson quasi-Nijenhuis manifolds
Eber Chuño Vizarreta, Gregorio Falqui, Igor Mencattini +1
This note aims to continue our study about the applications of Poisson quasi-Nijenhuis geometry to the theory of classical completely integrable systems. More precisely, we will pr…
Poisson quasi-Nijenhuis manifolds, closed Toda lattices, and generalized recursion relations
Eber Chuño Vizarreta, Gregorio Falqui, Igor Mencattini +1
We present two involutivity theorems in the context of Poisson quasi-Nijenhuis %(PqN) manifolds. The second one stems from recursion relations that generalize the so called Lenard-…
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…