Abstract: 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.
Il seminario avrà luogo in presenza presso il Dipartimento di Matematica e Fisica
Lungotevere Dante 376- Aula M3
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