Conformally Flat Pseudo-riemannian Homogeneous Ricci Solitons 4-spaces

Abstract

We consider four-dimensional conformally flat homogeneous pseudo-Riemannian manifolds. According to forms (Segre types) of the Ricci operator, we provide a full classification of four-dimensional pseudo-Riemannian conformally flat homogeneous Ricci solitons.2000 Mathematics Subject Classification. 53C50, 53C15, 53C25.