A. Arsie

activity

20002026

most citedComplex reflection groups, logarithmic connections and bi-flat F-manifolds

24 citations · 201 across the 32 of their papers we have counts for

collaborators

Showing 2012Show all

3 papers · 1 filter

math-ph2012★ 2 cited

Reciprocal $F$ -manifolds

Alessandro Arsie, Paolo Lorenzoni

We consider the action of a special class of reciprocal transformation on the principal hierarchy associated to a semisimple $F$ -manifold with compatible flat structure $(M,\circ,\…

math-ph2012★ 8 cited

Poisson bracket on 1-forms and evolutionary partial differential equations

Alessandro Arsie, Paolo Lorenzoni

We introduce a bracket on 1-forms defined on $J^{\infty} (S^{1}, R^{n})$ , the infinite jet extension of the space of loops and prove that it satisfies the standard prope…

math-ph2012★ 22 cited

From Darboux-Egorov system to bi-flat $F$ -manifolds

Alessandro Arsie, Paolo Lorenzoni

Motivated by the theory of integrable PDEs of hydrodynamic type and by the generalization of Dubrovin's duality in the framework of $F$ -manifolds due to Manin [22], we consider a s…

Reciprocal F-manifolds

Poisson bracket on 1-forms and evolutionary partial differential equations

From Darboux-Egorov system to bi-flat F-manifolds

Reciprocal $F$ -manifolds

From Darboux-Egorov system to bi-flat $F$ -manifolds