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

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

2002-09-12

arxiv.org/abs/math-ph/0209022v2

J.Phys.A36:1013-1028,2003

Physics

Mathematical Physics

20 pages

Scientific paper

10.1088/0305-4470/36/4/311

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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