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Helicity and the Mañé critical value

Gabriel P Paternain

Algebraic & Geometric Topology 9 (2009) 1413–1422

DOI: 10.2140/agt.2009.9.1413
Abstract

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

Keywords

helicity, Mañé critical value, magnetic flow, surface
Mathematical Subject Classification

Primary: 35J15, 53C21, 53C25

Secondary:
References
Publication

Received: 5 March 2009
Accepted: 30 June 2009
Published: 21 July 2009
Authors
Gabriel P Paternain
Department of Pure Mathematics and Mathematical Statistics
University of Cambridge
Cambridge CB3 0WB
UK