Helicity and the Mañé critical value

Abstract

We establish a relationship between the helicity of a magnetic flow on a closed surface of genus $\ge 2$ and the Mañé critical value.

9 pages, minor corrections

References in corpus (1)

• The Seiberg-Witten equations and the Weinstein conjecture

Cited by in corpus (3)

• The Lusternik-Fet theorem for autonomous Tonelli Hamiltonian systems on twisted cotangent bundles
• Infinitely many periodic orbits in non-exact oscillating magnetic fields on surfaces with genus at least two for almost every low energy level
• On the rigidity of Zoll magnetic systems on surfaces