Schlesinger system, Einstein equations and hyperelliptic curves

1999/11/02 by D. Korotkin, V. Matveev
Physics and Astronomy · #gr-qc

paper · pdf

published as Lett.Math.Phys. 49 (1999) 145-159 · dedicated to the memory of Moshe Flato

arxiv created 1999/11/02 · arxiv updated 2009/11/30

Abstract

We review recent developments in the method of algebro-geometric integration of integrable systems related to deformations of algebraic curves. In particular, we discuss the theta-functional solutions of Schlesinger system, Ernst equation and self-dual SU(2)-invariant Einstein equations.

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