The Indefinite Self-Dual Metrics and Painleve Equations
Mathematical Physics
2015-06-26 v1 Differential Geometry
math.MP
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 Painlev\'e functions.
Keywords
Cite
@article{arxiv.math-ph/0211045,
title = {The Indefinite Self-Dual Metrics and Painleve Equations},
author = {Shoji Okumura},
journal= {arXiv preprint arXiv:math-ph/0211045},
year = {2015}
}
Comments
12 pages, AMS-LaTeX V1.2