20 citations · 122 across the 21 of their papers we have counts for
23 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…
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-…
What is the Magnus Expansion?
Kurusch Ebrahimi-Fard, Igor Mencattini, Alexandre Quesney
The Magnus expansion, introduced by Wilhelm Magnus in 1954, is an infinite Lie series employed to express solutions for first-order homogeneous linear differential equations involv…
A Dubrovin-Frobenius manifold structure of NLS type on the orbit space of
Alessandro Arsie, Paolo Lorenzoni, Igor Mencattini +1
Generalizing a construction presented in [3], we show that the orbit space of less the image of coordinate lines under the quotient map is equipped with two Dubrovin-Frobeniu…