https://neckpinch.com/authors/diego-catalano-ferraioli/New arXiv papers by Diego Catalano Ferraioli, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2201.07956/arxiv:2201.07956Thu, 20 Jan 2022 00:00:00 GMTDiego Catalano Ferraioli — In this paper we report on a local classification of four dimensional Ricci solitons which have a 2-dimensional Abelian Killing algebra 𝓖₂, whose Killing leaves are non-null and orthogonally intransitive. The classification is obtained under the following additional assumptions: (i) the curvature vector field, of the submersion defined by 𝓖₂, is a null vector field; (ii) 𝓖₂ has a null vector; (iii) the vector field of the Ricci soliton is tangent to the Killing leaves and a symmetry of the orthogonal distribution. Since there are only few examples of orthogonally intransitive Einstein metrics, and even less is known about orthogonally intransitive Ricci solitons, we believe that these results can help fill this gap in the literature.Ricci solitonsEinstein metrics4-manifoldsSurfaces