Darboux-Egoroff metrics, rational Landau-Ginzburg potentials and the Painleve VI equation
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Iop Publishing Ltd
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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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English
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Journal of Physics A-mathematical and General. Bristol: Iop Publishing Ltd, v. 36, n. 4, p. 1013-1028, 2003.
