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- W2788735073 abstract "We carry out a Painlev'e analysis to find the cases where the cohomogeneity one steady Ricci soliton equation can be integrable. We concentrate on two classes of solitons: warped products and complex line bundles over a Fano Kahler Einstein base. For warped products, the analysis singles out the case with one factor where the dimension of the hypersurface is a perfect square, with the $n=4$ particularly distinguished. The case with two factors each of dimension $2$ is also singled out by the analysis. In the case of complex line bundles, a 1-parameter family is singled out for every even dimension." @default.
- W2788735073 created "2018-03-06" @default.
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- W2788735073 date "2018-02-28" @default.
- W2788735073 modified "2023-09-27" @default.
- W2788735073 title "Painlev'e analysis of Ricci solitons over warped products" @default.
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