https://neckpinch.com/authors/alejandro-betancourt-de-la-parra/New arXiv papers by Alejandro Betancourt de la Parra, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1802.10227/arxiv:1802.10227Wed, 28 Feb 2018 00:00:00 GMTAlejandro Betancourt de la Parra — We carry out a Painlevé 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 Kähler 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.Ricci solitonsEinstein metricsKähler geometryHomogeneous spacesRotational symmetry & warped productsKähler–Einstein & K-stability