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A primer on the (2+1) Einstein universe

Authors :
Barbot, Thierry
Charette, Virginie
Drumm, Todd
Goldman, William M.
Melnick, Karin
Source :
in "Recent Developments in Pseudo-Riemannian Geometry", European Mathematical Society, (2008), 179--230
Publication Year :
2007

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.<br />Comment: 56 pages, 6 figures

Details

Database :
arXiv
Journal :
in "Recent Developments in Pseudo-Riemannian Geometry", European Mathematical Society, (2008), 179--230
Publication Type :
Report
Accession number :
edsarx.0706.3055
Document Type :
Working Paper