59 citations · 191 across the 24 of their papers we have counts for
27 papers
Orbital equivalence classes of finite coverings of geodesic flows
Thierry Barbot, Sérgio Fenley
Let be a closed 3-manifold admitting a finite cover of index n along the fibers over the unit tangent bundle of a closed surface. We prove that if n is odd, there is only one A…
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…
Pappus Theorem, Schwartz Representations and Anosov Representations
Thierry Barbot, Gye-Seon Lee, Viviane Pardini Valério
In the paper "Pappus's theorem and the modular group", R. Schwartz constructed a 2-dimensional family of faithful representations of the modular group $\mathrm{PSL}(2,\mathbb…
Free Seifert pieces of pseudo-Anosov flows
Thierry Barbot, Sergio Fenley
We prove a structure theorem for pseudo-Anosov flows restricted to Seifert fibered pieces of three manifolds. The piece is called periodic if there is a Seifert fibration so that a…
Deformations of Fuchsian AdS representations are Quasi-Fuchsian
Thierry Barbot
Let be a finitely generated group, and let $\op{Rep}(Γ, \SO(2,n))$ be the moduli space of representations of into $\SO(2,n)$ (). An element $ρ: Γ\to \SO(2,n)$ of…
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…