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Journal Articles Journal of the European Mathematical Society Year : 2017

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

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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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Dates and versions

ensl-01475277 , version 1 (23-02-2017)

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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. Journal of the European Mathematical Society, 2017, 19, pp.551 - 579. ⟨10.4171/JEMS/674⟩. ⟨ensl-01475277⟩
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