59 citations · 191 across the 24 of their papers we have counts for
11 papers · 1 filter
Quasi-Fuchsian co-Minkowski manifolds
Thierry Barbot, François Fillastre
This survey is an introduction to the geometry of co-Minkowksi space, the space of unoriented spacelike hyperplanes of the Minkowski space. Affine deformations of cocompact lattice…
Some open questions on anti-de Sitter geometry
Thierry Barbot, Francesco Bonsante, Jeffrey Danciger +6
We present a list of open questions on various aspects of AdS geometry, that is, the geometry of Lorentz spaces of constant curvature -1. When possible we point out relations with…
Collisions of particles in locally AdS spacetimes II Moduli of globally hyperbolic spaces
Thierry Barbot, Francesco Bonsante, Jean-Marc Schlenker
We investigate 3-dimensional globally hyperbolic AdS manifolds containing "particles", i.e., cone singularities of angles less than along a time-like graph . To each such s…
Particles with spin in stationary flat spacetimes
Thierry Barbot, Catherine Meusburger
We construct stationary flat three-dimensional Lorentzian manifolds with singularities that are obtained from Euclidean surfaces with cone singularities and closed one-forms on the…
Collisions of particles in locally AdS spacetimes I. Local description and global examples
Thierry Barbot, Francesco Bonsante, Jean-Marc Schlenker
We investigate 3-dimensional globally hyperbolic AdS manifolds containing "particles", i.e., cone singularities along a graph . We impose physically relevant conditions on the c…
Collisions of particles in locally AdS spacetimes
Thierry Barbot, Francesco Bonsante, Jean-Marc Schlenker
We investigate 3-dimensional globally hyperbolic AdS manifolds containing "particles", i.e., cone singularities along a graph . We impose physically relevant conditions on the c…
Quasi-Fuchsian AdS representations are Anosov
Thierry Barbot
In a recent paper, Q. Mérigot proved that representations in SO(2,n) of uniform lattices of SO(1,n) which are Anosov in the sense of Labourie are quasi-Fuchsian, i.e. are faithfull…
A primer on the (2+1) Einstein universe
Thierry Barbot, Virginie Charette, Todd Drumm +2
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…
Notes on a paper of Mess
Lars Andersson, Thierry Barbot, Riccardo Benedetti +5
These notes are a companion to the article "Lorentz spacetimes of constant curvature" by Geoffrey Mess, which was first written in 1990 but never published. Mess' paper will appear…
Cosmological time versus CMC time II: the de Sitter and anti-de Sitter cases
Lars Andersson, Thierry Barbot, Francois Beguin +1
This paper continues the investigation of constant mean curvature (CMC) time functions in maximal globally hyperbolic spatially compact spacetimes of constant sectional curvature,…
Cosmological time versus CMC time I: Flat spacetimes
Lars Andersson, Thierry Barbot, Francois Beguin +1
This paper gives a new proof that maximal, globally hyperbolic, flat spacetimes of dimension with compact Cauchy hypersurfaces are globally foliated by Cauchy hypersurfac…