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 κ below the Mañé critical value of the universal cover there are infinitely many periodic orbits with energy κ.
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Submitted on : Thursday, February 23, 2017 - 3:39:29 PM
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Alberto Abbondandolo, Leonardo Macarini, Marco Mazzucchelli, Gabriel Paternain. Infinitely many periodic orbits of exact magnetic flows on surfaces for almost every subcritical energy level. Journal of the European Mathematical Society, European Mathematical Society, 2017, 19, pp.551 - 579. ⟨10.4171/JEMS/674⟩. ⟨ensl-01475277⟩

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