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


Type
Article
Change log
Authors
Abbondandolo, Alberto 
Macarini, Leonardo 
Mazzucchelli, Marco 
Paternain, Gabriel P 
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 Ma~n'e critical value of the universal cover there are infinitely many periodic orbits with energy κ.

Description
Keywords
Exact magnetic flows, periodic orbits, closed geodesics
Journal Title
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY
Conference Name
Journal ISSN
1435-9855
1435-9863
Volume Title
19
Publisher
European Mathematical Society - EMS - Publishing House GmbH