Lorentz spacetimes of constant curvature

By G. Mess. 2007

310 citations recorded by the source corpus.

This paper is unpublished work of Geoffrey Mess written in 1990, which gives a classification of flat and anti-de Sitter domains of dependence in 2+1 dimensions.

Subfields: Applied Mathematics, Mathematical Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/80cb62c24c7d7c0b9c29bbcc5c92fbaab88ca91c

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In Applied Mathematics

In Mathematical Physics

In Nuclear and High Energy Physics

Citations in the corpus

Convex cocompactness in pseudo-Riemannian hyperbolic spaces (2017, methodology): “ce of M. Suppose p= mand q= 2. The space Hp,1 is the (p+ 1)-dimensional (Lorentzian) anti-de Sitter space AdSp+1. When the hyperbolic m-manifold M is closed, Proposition 7.4 follows from work of Mess [Me] (for p= 2) and Barbot–Mérigot [BM] (for p≥ 3). In that case TΓ,ρ0 is actually a full connected ”
Locally Homogeneous Geometric Manifolds (2010, background): “Shortly after [69], another proof was given by Matsumoto [129] (compare also Mess [131]), related to ideas of bounded cohomology.”
The geometry of maximal representations of surface groups into SO0(2,n) (2017, background): “More precisely, for n = 1, maximal representations are exactly the holonomies of globally hyperbolic Cauchy-compact anti-de Sitter 3manifolds (see [Mes07]).”
Minimal surfaces and particles in 3-manifolds (2005, methodology): “The reader will find important results in [Mes90], which has served as an important motivation for our work; actually one point of this section is to recover some results of [Mes90] by different methods.”