24 citations · 201 across the 32 of their papers we have counts for
33 papers
Haantjes torsion and integrability: a proof of Bolsinov-Konyaev-Matveev's conjecture
Alessandro Arsie, Paolo Lorenzoni
We prove a conjecture formulated by Bolsinov, Konyaev and Matveev in [7] stating that, integrability of a system of hydrodynamic type with $\mathfr…
Cyclic F-manifolds, distinguished connections and integrability
Alessandro Arsie, Paolo Lorenzoni
We show that the geometry of Hertling-Manin F-manifolds provide the appropriate theoretical framework for studying the integrability of quasilinear systems of first-o…
Gibbons-Tsarev type systems and Eventual identities
Alessandro Arsie, Paolo Lorenzoni, Sara Perletti +1
We show that non-diagonalisable reductions of the dKP equation associated with regular non-semisimple -manifolds cannot exist. The proof is based on the derivation and study of…
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…
Contact Geometry of the Restricted Three-Body Problem on
Kursat Yilmaz, Alessandro Arsie
We study the contact geometry of the connected components of the energy hypersurface, in the symmetric restricted 3-body problem on , for a specific type of motion of…
Bi-flat F-structures as differential bicomplexes and Gauss-Manin connections
Alessandro Arsie, Paolo Lorenzoni
We show that a bi-flat F-structure on a manifold defines a differential bicomplex on forms with value on the t…