Helicity and the Mañé critical value

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The Journal

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Algebraic & Geometric Topology 9 (2009) 1413–1422

DOI: 10.2140/agt.2009.9.1413

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

helicity, Mañé critical value, magnetic flow, surface

Primary: 53C25, 53C21, 35J15

Received: 5 March 2009

Accepted: 30 June 2009

Published: 21 July 2009

Gabriel P Paternain
Department of Pure Mathematics and Mathematical Statistics University of Cambridge Cambridge CB3 0WB UK