Self-dual SU(2) invariant Einstein metrics and modular dependence of theta-functions

Abstract

We simplify Hitchin's description of SU(2)-invariant self-dual Einstein metrics, making use of the tau-function of related four-pole Schlesinger system.

Misprints corrected

Cited by in corpus (2)

• Symbolic Dynamics, Modular Curves, and Bianchi IX Cosmologies
• Solutions of the sDiff(2)Toda equation with SU(2) Symmetry