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

Alberto Abbondandolo; Leonardo Macarini; Marco Mazzucchelli; Gabriel Paternain

doi:10.4171/JEMS/674

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.

Type de document :

Article dans une revue

Journal of the European Mathematical Society, European Mathematical Society, 2017, 19, pp.551 - 579. 〈10.4171/JEMS/674〉

Domaine :

Mathématiques [math]

Liste complète des métadonnées

https://hal-ens-lyon.archives-ouvertes.fr/ensl-01475277
Contributeur : Marco Mazzucchelli <>
Soumis le : jeudi 23 février 2017 - 15:39:29
Dernière modification le : jeudi 11 janvier 2018 - 06:12:31
Document(s) archivé(s) le : mercredi 24 mai 2017 - 14:32:35

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

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