Add to ORKGWe prove the existence of a unique maximal surface in an anti-de Sitter (AdS) convex Globally Hyperbolic Maximal (GHM) manifold with particles (i.e. with conical singularities along timelike lines) for cone-angles less than $\pi$. We reinterpret this result in terms of Teichm\"uller theory, and prove the existence of a unique minimal Lagrangian diffeomorphism isotopic to the identity between two hyperbolic structures with conical singularities of the same angles on a closed surface with marked points.
We consider 3-dimensional anti-de Sitter manifolds with conical singularities along time-like lines,...
We define a condition called almost strict domination for pairs of representations $\rho_1:\pi_1(S_{...
We prove the existence of a minimal diffeomorphism isotopic to the identity between two hyperbolic c...
We prove that any hyperbolic end with particles (cone singularities along infinite curves of angles ...
31 pages, 3 figuresInternational audienceWe show that any element of the universal Teichmüller space...
We show that any element of the universal Teichm\"uller space is realized by a unique minimal Lagran...
peer reviewedWe prove an ``Earthquake theorem'' for closed hyperbolic surfaces with cone singularit...
peer reviewedWe prove that for any convex globally hyperbolic maximal (GHM) anti-de Sitter (AdS) 3-d...
In this thesis are exploited several instances of the relationship between convex Cauchy surfaces S ...
Let $M$ be a globally hyperbolic maximal compact 3-dimensional spacetime locally modelled on Minkows...
peer reviewedWe prove that given two metrics g+ and g− with curvature κ<−1 on a closed, oriented sur...
We consider hyperbolic and anti-de Sitter (AdS) structures on $M\times (0,1)$, where $M$ is a $d$-di...
We prove that for any two Riemannian metrics $\sigma_1, \sigma_2$ on the unit disk, a homeomorphism...
In this article, we continue the study of $L^p$-boundedness of the maximal operator $\mathcal M_S$ a...
AbstractLet H13 be the three-dimensional anti-de Sitter space. In this paper we will construct new e...
We consider 3-dimensional anti-de Sitter manifolds with conical singularities along time-like lines,...
We define a condition called almost strict domination for pairs of representations $\rho_1:\pi_1(S_{...
We prove the existence of a minimal diffeomorphism isotopic to the identity between two hyperbolic c...
We prove that any hyperbolic end with particles (cone singularities along infinite curves of angles ...
31 pages, 3 figuresInternational audienceWe show that any element of the universal Teichmüller space...
We show that any element of the universal Teichm\"uller space is realized by a unique minimal Lagran...
peer reviewedWe prove an ``Earthquake theorem'' for closed hyperbolic surfaces with cone singularit...
peer reviewedWe prove that for any convex globally hyperbolic maximal (GHM) anti-de Sitter (AdS) 3-d...
In this thesis are exploited several instances of the relationship between convex Cauchy surfaces S ...
Let $M$ be a globally hyperbolic maximal compact 3-dimensional spacetime locally modelled on Minkows...
peer reviewedWe prove that given two metrics g+ and g− with curvature κ<−1 on a closed, oriented sur...
We consider hyperbolic and anti-de Sitter (AdS) structures on $M\times (0,1)$, where $M$ is a $d$-di...
We prove that for any two Riemannian metrics $\sigma_1, \sigma_2$ on the unit disk, a homeomorphism...
In this article, we continue the study of $L^p$-boundedness of the maximal operator $\mathcal M_S$ a...
AbstractLet H13 be the three-dimensional anti-de Sitter space. In this paper we will construct new e...
We consider 3-dimensional anti-de Sitter manifolds with conical singularities along time-like lines,...
We define a condition called almost strict domination for pairs of representations $\rho_1:\pi_1(S_{...
We prove the existence of a minimal diffeomorphism isotopic to the identity between two hyperbolic c...