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

Alberto Abbondandolo; Leonardo Macarini; Marco Mazzucchelli; Gabriel Paternain

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.

Document type :

Journal articles

Domain :

Mathematics [math]

Complete list of metadatas

https://hal-ens-lyon.archives-ouvertes.fr/ensl-01475277
Contributor : Marco Mazzucchelli <>
Submitted on : Thursday, February 23, 2017 - 3:39:29 PM
Last modification on : Thursday, January 11, 2018 - 6:12:31 AM
Long-term archiving on : Wednesday, May 24, 2017 - 2:32:35 PM

magnetic.pdf

Files produced by the author(s)

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

File

Identifiers

Collections

Citation

Export

Metrics

113

140

Contact

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

File

Identifiers

Collections

Citation

Export

Share

Metrics

113

140

Contact