Infinitely many periodic orbits of exact magnetic flows on surfaces for almost every subcritical energy level

Abstract

We consider an exact magnetic flow on the tangent bundle of a closed surface. We prove that for almost every energy level $\kappa$ below the Mañé critical value of the universal cover there are infinitely many periodic orbits with energy $\kappa$.

29 pages. Final version. To appear in Journal of the European Mathematical Society

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