Výsledky vyhledávání - "Thierry Barbot"

Autor: Thierry Barbot, François Fillastre

Publikováno v: In the Tradition of Thurston ISBN: 9783030559274

Since the work of W.P. Thurston, some maps from Teichmuller space into itself can be described using the extrinsic geometry of surfaces in three dimensional hyperbolic space. Similarly, since the work of G. Mess, some of these maps can be described u

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https://doi.org/10.1007/978-3-030-55928-1_16

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Pappus Theorem, Schwartz Representations and Anosov Representations

Autor: Gye-Seon Lee, Viviane Pardini Valério, Thierry Barbot

Publikováno v: Annales de l'Institut Fourier. 68:2697-2741

In the paper "Pappus's theorem and the modular group", R. Schwartz constructed a 2-dimensional family of faithful representations $\rho_\Theta$ of the modular group $\mathrm{PSL}(2,\mathbb{Z})$ into the group $\mathscr{G}$ of projective symmetries of

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https://doi.org/10.5802/aif.3221

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Nil-Anosov actions

Autor: Carlos Maquera, Thierry Barbot

Publikováno v: Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Mathematische Zeitschrift
Mathematische Zeitschrift, 2017, 287 (3-4), pp.1279-1305. ⟨10.1007/s00209-017-1868-1⟩

We consider Anosov actions of a Lie group G of dimension k on a closed manifold of dimension $$k+n$$ . We introduce the notion of Nil-Anosov action of G (which includes the case where G is nilpotent) and establishes the invariance by the entire group

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Collisions of Particles in Locally AdS Spacetimes II Moduli of Globally Hyperbolic Spaces

Autor: Jean-Marc Schlenker, Thierry Barbot, Francesco Bonsante

Publikováno v: Communications in Mathematical Physics
Communications in Mathematical Physics, Springer Verlag, 2014, 327 (3), pp.691-735. ⟨10.1007/s00220-014-2020-2⟩
Communications in Mathematical Physics, 2014, 327 (3), pp.691-735. ⟨10.1007/s00220-014-2020-2⟩

We investigate 3-dimensional globally hyperbolic AdS manifolds containing "particles", i.e., cone singularities of angles less than $2\pi$ along a time-like graph $\Gamma$. To each such space we associate a graph and a finite family of pairs of hyper

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https://doi.org/10.1007/s00220-014-2020-2

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Algebraic Anosov actions of nilpotent Lie groups

Autor: Carlos Maquera, Thierry Barbot

Publikováno v: Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Topology and its Applications
Topology and its Applications, 2013, 160 (1), pp.199-219. ⟨10.1016/j.topol.2012.10.012⟩

In this paper we classify algebraic Anosov actions of nilpotent Lie groups on closed manifolds, extending the previous results by P. Tomter. We show that they are all nil-suspensions over either suspensions of Anosov actions of Z^k on nilmanifolds, o

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https://doi.org/10.1016/j.topol.2012.10.012

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Collisions of Particles in Locally AdS Spacetimes I. Local Description and Global Examples

Autor: Jean-Marc Schlenker, Thierry Barbot, Francesco Bonsante

Publikováno v: Communications in Mathematical Physics, 308(1), 147--200. (2011).

We investigate 3-dimensional globally hyperbolic AdS manifolds containing "particles", i.e., cone singularities along a graph $\Gamma$. We impose physically relevant conditions on the cone singularities, e.g. positivity of mass (angle less than $2\pi

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https://doi.org/10.1007/s00220-011-1318-6

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On integrable codimension one Anosov actions of $\RR^k$

Autor: Carlos Maquera, Thierry Barbot

Publikováno v: Discrete & Continuous Dynamical Systems - A. 29:803-822

In this paper, we consider codimension one Anosov actions of $\RR^k,\ k\geq 1,$ on closed connected orientable manifolds of dimension $n+k$ with $n\geq 3$. We show that the fundamental group of the ambient manifold is solvable if and only if the weak

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https://doi.org/10.3934/dcds.2011.29.803

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Transitivity of codimension-one Anosov actions of ℝk on closed manifolds

Autor: Thierry Barbot, Carlos Maquera

Publikováno v: Ergodic Theory and Dynamical Systems. 31:1-22

We consider Anosov actions of ℝk, k≥2, on a closed connected orientable manifold M, of codimension one, i.e. such that the unstable foliation associated to some element of ℝk has dimension one. We prove that if the ambient manifold has dimensio

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https://doi.org/10.1017/s0143385709001023

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Causal properties of AdS-isometry groups I: causal actions and limit sets

Autor: Thierry Barbot

Publikováno v: Advances in Theoretical and Mathematical Physics. 12:1-66

We study the causality relation in the $3$-dimensional anti-de Sitter space AdS and its conformal boundary $\mbox{Ein}_2$. To any closed achronal subset $\Lambda$ in $\mbox{Ein}_2$ we associate the invisible domain $E(\Lambda)$ from $\Lambda$ in AdS.

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https://doi.org/10.4310/atmp.2008.v12.n1.a1

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Causal properties of AdS-isometry groups II: BTZ multi-black-holes

Autor: Thierry Barbot

Publikováno v: Advances in Theoretical and Mathematical Physics. 12:1209-1257

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 $\mbox{Ein}_2$ contains all the examples of BTZ multi black-holes. It provides new ele

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https://doi.org/10.4310/atmp.2008.v12.n6.a2

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