Fundamental domains in the Einstein Universe
Differential Geometry
2014-06-26 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1307.6531,
title = {Fundamental domains in the Einstein Universe},
author = {Virginie Charette and Dominik Francoeur and Rosemonde Lareau-Dussault},
journal= {arXiv preprint arXiv:1307.6531},
year = {2014}
}
Comments
5 figures