Fonctionne avec Indico
v3.2.9
We are interested in electromagnetic billiards on an open bounded domain with smooth boundary in an n-dimensional connected closed Riemannian manifold. In particular, we study periodic orbits on a prescribed energy level. This is a generalization of the classical billiard game for nonvanishing potential. In this generalized situation we are able to show that for energy values above the Mañé critical value, there exists a magnetic bounce orbit. In my talk, I will first describe how I play billiards, in particular explain the notion of magnetic bounce orbits, and then give an idea of the proof of the existence of magnetic bounce orbits.