Seminari

Magnetic curvature and existence of a closed magnetic geodesic on low energy levels

Valerio Assenza

17-10-2024 - 14:30
Largo Lungo Tevere Dante n 376 - Aula M3

 

Magnetic systems are the natural toy model for the motion of a charged particle moving on a Riemannian manifold under the influence of a (static) magnetic force. In this talk we introduce a curvature operator called magnetic curvature which encodes the information of the classical Riemannian curvature together with terms of perturbation due to the magnetic interaction. In a variational setting, we use this new notion of curvature to approach the problem of finding closed trajectories. 
org: PROCESI Michela

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