Geodesic
Infinitely many periodic orbits of exact magnetic flows on surfaces for almost every subcritical energy level
Journal of the European Mathematical Society, Tome 19 (2017) no. 2, pp. 551-579

Voir la notice de l'article provenant de la source EMS Press

We consider an exact magnetic ow 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 covering there are infinitely many periodic orbits with energy κ.
DOI : 10.4171/jems/674
Classification : 37-XX, 58-XX
Keywords: Exact magnetic flows, periodic orbits, closed geodesics 
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     author = {Alberto Abbondandolo and Leonardo Macarini and Marco Mazzucchelli and Gabriel P. Paternain},
     title = {Infinitely many periodic orbits of exact magnetic flows on surfaces for almost every subcritical energy level},
     journal = {Journal of the European Mathematical Society},
     pages = {551--579},
     publisher = {mathdoc},
     volume = {19},
     number = {2},
     year = {2017},
     doi = {10.4171/jems/674},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/674/}
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Alberto Abbondandolo; Leonardo Macarini; Marco Mazzucchelli; Gabriel P. Paternain. Infinitely many periodic orbits of exact magnetic flows on surfaces for almost every subcritical energy level. Journal of the European Mathematical Society, Tome 19 (2017) no. 2, pp. 551-579. doi: 10.4171/jems/674

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