The Scalar-flat Kaehler Metric and Painleve III

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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.
9 pages, LaTeX

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Mathematical Physics, Differential Geometry, 53C25(Primary), 53C80, 83C20(Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/56592

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0007027
 http://arxiv.org/abs/math-ph/0007027

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arXiv