Hyper-complex four-manifolds from the Tzitz\'eica equation
Exactly Solvable and Integrable Systems
2009-11-07 v2 General Relativity and Quantum Cosmology
Differential Geometry
Abstract
It is shown how solutions to the Tzitz\'eica equation can be used to construct a family of (pseudo) hyper-complex metrics in four dimensions.
Cite
@article{arxiv.nlin/0108017,
title = {Hyper-complex four-manifolds from the Tzitz\'eica equation},
author = {Maciej Dunajski},
journal= {arXiv preprint arXiv:nlin/0108017},
year = {2009}
}
Comments
To be published in J.Math.Phys