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arXiv · 1404.7641

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
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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 $κ$.

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Alberto Abbondandolo, Leonardo Macarini, Marco Mazzucchelli, Gabriel P. Paternain. 2017-01-10. Infinitely many periodic orbits of exact magnetic flows on surfaces for almost every subcritical energy level. https://doi.org/10.4171/jems%2F674

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