2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/184573We 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 pagesMathematical PhysicsHigh Energy Physics - TheoryExactly Solvable and Integrable Systems35Q15;53D45;37K10text