1 citations · 1 across the 4 of their papers we have counts for
5 papers
Periodic Magnetic Geodesics with Every Low Energy: Existence and Localization
Valerio Assenza, Gabriele Benedetti, Leonardo Macarini
Let be a Riemannian manifold equipped with a non-identically zero magnetic field represented by a closed -form . We allow to be non-compact and do not assume that…
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…
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…
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…
Magnetic curvature and existence of a closed magnetic geodesic on low energy levels
Valerio Assenza
To a Riemannian manifold endowed with a magnetic form and its Lorentz operator we associate an operator , called the magnetic curvature operator. Such an oper…