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Darboux-Egoroff Metrics, Rational Landau-Ginzburg Potentials and the Painleve VI Equation

H. Aratyn·J. F. Gomes·A. H. Zimerman
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Abstract

We present a class of three-dimensional integrable structures associated with the Darboux-Egoroff metric and classical Euler equations of free rotations of a rigid body. They are obtained as canonical structures of rational Landau-Ginzburg potentials and provide solutions to the Painleve VI equation.

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H. Aratyn, J. F. Gomes, A. H. Zimerman. 2002-09-13. Darboux-Egoroff Metrics, Rational Landau-Ginzburg Potentials and the Painleve VI Equation. https://doi.org/10.1088/0305-4470%2F36%2F4%2F311

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