Algebraic & Geometric Topology

Helicity and the Mañé critical value

Gabriel P Paternain

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

Article information

Algebr. Geom. Topol., Volume 9, Number 3 (2009), 1413-1422.

Received: 5 March 2009
Accepted: 30 June 2009
First available in Project Euclid: 20 December 2017

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Zentralblatt MATH identifier

Primary: 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.) 53C21: Methods of Riemannian geometry, including PDE methods; curvature restrictions [See also 58J60] 35J15: Second-order elliptic equations

helicity Mañé critical value magnetic flow surface


Paternain, Gabriel P. Helicity and the Mañé critical value. Algebr. Geom. Topol. 9 (2009), no. 3, 1413--1422. doi:10.2140/agt.2009.9.1413.

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