On the existence of three closed magnetic geodesics for subcritical energies

Alberto Abbondandolo, Leonardo Macarini, Gabriel P. Paternain

Type: Article

Publication Date: 2015-02-23

Citations: 32

DOI: https://doi.org/10.4171/cmh/350

Abstract

We consider exact magnetic flows on closed orientable surfaces. We show that for almost every energy below Mañé’s critical value of the universal covering there are always at least three distinct closed magnetic geodesics with energy \kappa . If in addition the energy level is assumed to be non-degenerate we prove existence of infinitely many closed magnetic geodesics.

Locations

Commentarii Mathematici Helvetici - View - PDF
arXiv (Cornell University) - View - PDF
CINECA IRIS Institutial research information system (University of Pisa) - View - PDF

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