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

Alberto Abbondandolo; Leonardo Macarini; Marco Mazzucchelli; Gabriel P. Paternain

doi:10.4171/JEMS/674

Journal articles

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 P. Paternain ⁴

1 Ruhr-Universitat Bochum, Fakultat fur Mathematik

2 UFRJ - Universidade Federal do 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.

Document type :

Journal articles

Domain :

Mathematics [math]

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https://hal-ens-lyon.archives-ouvertes.fr/ensl-01475277
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Submitted on : Thursday, February 23, 2017 - 3:39:29 PM
Last modification on : Wednesday, November 3, 2021 - 4:12:42 AM
Long-term archiving on: : Wednesday, May 24, 2017 - 2:32:35 PM

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

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

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