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Infinitely many periodic orbits of exact magnetic flows on surfaces for almost every subcritical energy level
Authors
Alberto Abbondandolo
Leonardo Macarini
Marco Mazzucchelli
Gabriel P Paternain
Publication date
16 August 2016
Publisher
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY
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arXiv
Abstract
We consider an exact magnetic flow on the tangent bundle of a closed surface. We prove that for almost every energy level
κ
\kappa
κ
below the Ma\~n\'e critical value of the universal cover there are infinitely many periodic orbits with energy
κ
\kappa
κ
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