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

Alberto Abbondandolo 1 Leonardo Macarini 2 Marco Mazzucchelli 3 Gabriel Paternain 4
1 Ruhr-Universitat Bochum, Fakultat fur Mathematik
2 UFRJ - Universidade Federal do Rio de Janeiro [Rio de Janeiro]
3 UMPA-ENSL - Unité de Mathématiques Pures et Appliquées
4 CAM - University of Cambridge [UK]
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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Contributor : Marco Mazzucchelli <>
Submitted on : Thursday, February 23, 2017 - 3:39:29 PM
Last modification on : Wednesday, November 20, 2019 - 8:17:51 AM
Long-term archiving on : Wednesday, May 24, 2017 - 2:32:35 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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