3 papers
math.DG2025
Electromagnetic curvature via Jacobi-Maupertuis and beyond
Valerio Assenza, Giorgia Testolina
In the setting of electromagnetic systems, we propose a new definition of electromagnetic Ricci curvature, naturally derived via the classical Jacobi-Maupertuis reparametrization f…
math.DG2024
Magnetic flatness and E. Hopf's theorem for magnetic systems
Valerio Assenza, James Marshall Reber, Ivo Terek
Using the notion of magnetic curvature recently introduced by the first author, we extend E. Hopf's theorem to the setting of magnetic systems. Namely, we prove that if the magneti…
math.DG2024
Marked length spectrum rigidity for Anosov magnetic surfaces
Valerio Assenza, Jacopo de Simoi, James Marshall Reber +1
We show that if is a closed, connected, oriented surface, and two Anosov magnetic systems on are conjugate by a volume-preserving conjugacy isotopic to the identity, with t…