Classification of closed conformally flat Lorentzian manifolds with unipotent holonomy
Abstract
Abstract We classify closed, conformally flat Lorentzian manifolds of dimension with unipotent holonomy in PO(2,n). They are all Kleinian and fall into four different geometric types according to the intersection of the image of the developing map with a holonomy‐invariant isotropic flag. They are homeomorphic to or to a nilmanifold of degree at most three, up to a finite cover. We classify those admitting an essential conformal flow; these fall into two geometric types, both homeomorphic to up to finite cover.
Fields of Study & Subjects
Geometric Analysis and Curvature Flows
Geometry and complex manifolds
Advanced Operator Algebra Research
Publication details
- Journal / source
- Journal of Topology
- Volume
- 19
- Issue
- 3
- Publication date
- 30 June 2026
- Language
- EN