Conformal geometry of non-reductive four-dimensional homogeneous spaces

2016/02/26 by Calviño-Louzao, E., García-Río, E., Gutiérrez-Rodríguez, I. +1
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1602.08266

Abstract

We classify non-reductive four-dimensional homogeneous conformally Einstein manifolds.

Related

• Conformally flat Einstein-like 4-manifolds and conformally flat Riemannian 4-manifolds all of whose Jacobi operators have parallel eigenspaces along every geodesic
• Non-reductive Homogeneous Pseudo-Riemannian Manifolds of Dimension Four
• Four-dimensional homogeneous semi-symmetric neutral manifolds
• Conformal Geometry on Four Manifolds
• Uniformization of four manifolds