The Scalar-flat Kaehler Metric and Painleve III
Mathematical Physics
2007-05-23 v1 Differential Geometry
math.MP
Abstract
We study the anti-self-dual equation for non-diagonal SU(2)-invariant metrics and give an equivalent ninth-order system. This system reduce to a sixth-order system if the metric is in the conformal class of scalar-flat-Kaehler metric.
Cite
@article{arxiv.math-ph/0007027,
title = {The Scalar-flat Kaehler Metric and Painleve III},
author = {Shoji Okumura},
journal= {arXiv preprint arXiv:math-ph/0007027},
year = {2007}
}
Comments
9 pages, LaTeX