The Scalar-flat Kaehler Metric and Painleve III

Details The Scalar-flat Kaehler Metric and Painleve III The Scalar-flat Kaehler Metric and Painleve III

2000-07-22

arxiv.org/abs/math-ph/0007027v1

Physics

Mathematical Physics

9 pages, LaTeX

Scientific paper

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.

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