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

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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.
20 pages

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Mathematical Physics, High Energy Physics - Theory, Exactly Solvable and Integrable Systems, 35Q15;53D45;37K10

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http://salesiana.dossiersoluciones.com/handle/123456789/184573

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0209022
 http://arxiv.org/abs/math-ph/0209022
 J.Phys.A36:1013-1028,2003
 doi:10.1088/0305-4470/36/4/311

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