  We have established a 1-1 correspondence between a solution of the universal
Whitham hierarchy and a twistor space. The twistor space consists of a complex
surface and a family of complex curves together with a meromorphic 2-form. The
solution of the Whitham hierarchy is given by deforming the curve in the
surface. By treating the family of algebraic curves in $CP^1 X CP^1$ as a
twistor space, we were able to express the deformations of the isomonodromic
spectral curve in terms of the deformations generated by the Whitham hierarchy.

Exactly Solvable and Integrable Systems