2 papers
math-ph2025
Hamiltonian formalism for non-diagonalisable systems of hydrodynamic type
Paolo Lorenzoni, Sara Perletti, Karoline van Gemst
We study the system of first order PDEs for pseudo-Riemannian metrics governing the Hamiltonian formalism for systems of hydrodynamic type. In the diagonal setting the integrabilit…
math-ph2024
Integrable hierarchies and F-manifolds with compatible connection
Paolo Lorenzoni, Sara Perletti, Karoline van Gemst
Building on the interplay between geometry and integrability, we show that F-manifolds with compatible connection are the geometric counterpart of integrable sys…