4 citations · 6 across the 5 of their papers we have counts for
5 papers
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…
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…
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-…
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…
Hamiltonian aspects of 3-layer stratified fluids
R. Camassa, G. Falqui, G. Ortenzi +2
The theory of 3-layer density stratified ideal fluids is examined with a view towards its generalization to the n-layer case. The focus is on structural properties, especially for…