The Indefinite Self-Dual Metrics and Painleve Equations

Details The Indefinite Self-Dual Metrics and Painleve Equations The Indefinite Self-Dual Metrics and Painleve Equations

2002-11-19

arxiv.org/abs/math-ph/0211045v1

Physics

Mathematical Physics

12 pages, AMS-LaTeX V1.2

Scientific paper

We classify the SU(2)-invariant anti-self-dual metrics with a signature
(+,+,-,-). The metrics are specified by a solution of Painleve VI, V, III or
II. Moreover we show the geometric meaning of the metrics specified by each
type of Painlev\'e functions.

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