Ricci-flat warped products and Painlevé analysis Journal Articles uri icon

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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.

publication date

  • August 1, 2001