The Indefinite Self-Dual Metrics and Painleve Equations
arXiv:math-ph/0211045 · doi:10.1063/1.1604187
Abstract
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 Painlevé functions.
12 pages, AMS-LaTeX V1.2