Conformally flat homogeneous pseudo-Riemannian four-manifolds
Conformally flat homogeneous pseudo-Riemannian four-manifolds
We obtain a complete classification of four-dimensional conformally flat homogeneous pseudo-Riemannian manifolds. Introduction.Conformally flat manifolds are a classical field of investigation in pseudo-Riemannian geometry.In this framework, it is a natural problem to classify conformally flat homogeneous pseudo-Riemannian manifolds.A conformally flat (locally) homogeneous Riemannian manifold is (locally) symmetric [17].Hence, it admits …