Schlesinger system, Einstein equations and hyperelliptic curves
General Relativity and Quantum Cosmology
2007-05-23 v1
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.
Cite
@article{arxiv.gr-qc/9911003,
title = {Schlesinger system, Einstein equations and hyperelliptic curves},
author = {D. Korotkin and V. Matveev},
journal= {arXiv preprint arXiv:gr-qc/9911003},
year = {2007}
}
Comments
dedicated to the memory of Moshe Flato