2013/07/24 by Virginie Charette, Dominik Francoeur, Charette, Virginie +3
Mathematics · #53B30 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #math.DG #msc:53B30
paper · pdf · doi:10.48550/arxiv.1307.6531
5 figures
openalex publication_date 2013/07/24 · arxiv created 2014/06/25 · arxiv updated 2014/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We will discuss fundamental domains for actions of discrete groups on the 3-dimensional Einstein Universe. These will be bounded by crooked surfaces, which are conformal compactifications of surfaces that arise in the construction of Margulis spacetimes. We will show that there exist pairwise disjoint crooked surfaces in the 3-dimensional Einstein Universe. As an application, we can construct explicit examples of groups acting properly on an open subset of that space.