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

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Authors
Abbondandolo, Alberto
Macarini, Leonardo
Mazzucchelli, Marco
Paternain, Gabriel P
Publication Date
2017
Journal Title
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY
ISSN
1435-9855
Publisher
European Mathematical Society - EMS - Publishing House GmbH
Volume
19
Issue
2
Pages
551-579
Type
Article
Metadata
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Citation
Abbondandolo, A., Macarini, L., Mazzucchelli, M., & Paternain, G. P. (2017). Infinitely many periodic orbits of exact magnetic flows on surfaces for almost every subcritical energy level. JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 19 (2), 551-579. https://doi.org/10.4171/JEMS/674
Abstract
We consider an exact magnetic flow on the tangent bundle of a closed surface. We prove that for almost every energy level $\kappa$ below the Ma\~n\'e critical value of the universal cover there are infinitely many periodic orbits with energy $\kappa$.
Keywords
Exact magnetic flows, periodic orbits, closed geodesics
Identifiers
External DOI: https://doi.org/10.4171/JEMS/674
This record's URL: https://www.repository.cam.ac.uk/handle/1810/280470
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