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We consider an exact magnetic ow on the tangent bundle of a closed surface. We prove that for almost every energy level below the Mañé critical value of the universal covering there are infinitely many periodic orbits with energy .
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Alberto Abbondandolo, Leonardo Macarini, Marco Mazzucchelli, Gabriel P. Paternain, Infinitely many periodic orbits of exact magnetic flows on surfaces for almost every subcritical energy level. J. Eur. Math. Soc. 19 (2017), no. 2, pp. 551–579