  Equivalence is established between a special class of Painleve VI equations
parametrized by a conformal dimension $\mu$, time dependent Euler top
equations, isomonodromic deformations and three-dimensional Frobenius
manifolds. The isomodromic tau function and solutions of the Euler top
equations are explicitly constructed in terms of Wronskian solutions of the
2-vector 1-constrained symplectic Kadomtsev-Petviashvili (CKP) hierarchy by
means of Grassmannian formulation. These Wronskian solutions give rational
solutions of the Painleve VI equation for $\mu=1,2,{...} $.
