English

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

General Relativity and Quantum Cosmology 2023-10-25 v3 Differential Geometry Exactly Solvable and Integrable Systems

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.

Keywords

Cite

@article{arxiv.gr-qc/9810025,
  title  = {Self-dual SU(2) invariant Einstein metrics and modular dependence of theta-functions},
  author = {M. V. Babich and D. A. Korotkin},
  journal= {arXiv preprint arXiv:gr-qc/9810025},
  year   = {2023}
}

Comments

Misprints corrected