Global Structures of Compact Conformally Flat Semi-Symmetric Spaces of Dimension 3 and of Non-Constant Curvature.

Let (M, g) be a compact connected locally conformally flat semi-symmetric space of dimension 3 and with principal Ricci curvatures ρ1 = ρ2 ≠ ρ3 = 0. Then M is a Seifert fibre space. Moreover, in case the holonomy group is discrete, M is commensurable to a Kleinian manifold. If the holonomy group is indiscrete, (M, ḡ) is a hyperbolic surface bundle over a circle and (M, g) has negative scalar curvature. Here ḡ denotes a metric induced from the flat conformal structure. [ABSTRACT FROM AUTHOR]