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

magnetic.pdf

Fichiers produits par l'(les) auteur(s)

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

Fichier

Identifiants

Collections

Citation

Exporter

Métriques

61

25

Contact

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

Fichier

Identifiants

Collections

Citation

Exporter

Partager

Métriques

61

25

Contact