59 citations · 191 across the 24 of their papers we have counts for
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Classification and rigidity of totally periodic pseudo-Anosov flows in graph manifolds
Thierry Barbot, Sergio R. Fenley
In this article we analyze totally periodic pseudo-Anosov flows in graph three manifolds. This means that in each Seifert fibered piece of the torus decomposition, the free homotop…
Pseudo-Anosov flows in toroidal manifolds
Thierry Barbot, Sergio Fenley
We first prove rigidity results for pseudo-Anosov flows in prototypes of toroidal 3-manifolds: we show that a pseudo-Anosov flow in a Seifert fibered manifold is up to finite cover…
Causal properties of AdS-isometry groups II: BTZ multi black-holes
Thierry Barbot
This paper is the continuation of [8]. We essentially prove that the familly of strongly causal spacetimes defined in [8] associated to generic achronal subsets in Ein contains all…
Causal properties of AdS-isometry groups I: Causal actions and limit sets
Thierry Barbot
We study the causality relation in the 3-dimensional anti-de Sitter space AdS and its conformal boundary Ein. To any closed achronal subset in we associate the invis…
Globally Hyperbolic Flat Spacetimes
Thierry Barbot
We consider (flat) Cauchy-complete GH spacetimes, i.e., globally hyperbolic flat lorentzian manifolds admitting some Cauchy hypersurface on which the ambient lorentzian metric rest…