A primer on the (2 + 1) Einstein universe
Thierry Barbot
Université d'Avignon, FranceVirginie Charette
Université de Sherbrooke, CanadaTodd A. Drumm
Howard University, Washington, USAWilliam M. Goldman
University of Maryland, College Park, USAKarin Melnick
University of Maryland, College Park, USA
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Abstract
The Einstein universe is the conformal compactification of Minkowski space. It also arises as the ideal boundary of anti-de Sitter space. The purpose of this article is to develop the synthetic geometry of the Einstein universe in terms of its homogeneous submanifolds and causal structure, with particular emphasis on dimension 2 + 1, in which there is a rich interplay with symplectic geometry.