Journal article
Ricci-flat warped products and Painlevé analysis
Abstract
We apply Painlevé analysis to the Ricci-flat Einstein equations for a warped product with an arbitrary number of factors. We find that, as in the situation of the two factors examined [J. Geom. Phys. 38, 183–206 (2001)], the cases when the total dimension is 10 or 11 are singled out by the analysis.
Authors
Dancer A; Wang MY
Journal
Journal of Mathematical Physics, Vol. 42, No. 8, pp. 3609–3614
Publisher
AIP Publishing
Publication Date
August 1, 2001
DOI
10.1063/1.1380441
ISSN
0022-2488