2 citations · 7 across the 9 of their papers we have counts for
12 papers
Spectra of Lorentzian quasi-Fuchsian manifolds
Benjamin Delarue, Colin Guillarmou, Daniel Monclair
A three-dimensional quasi-Fuchsian Lorentzian manifold is a globally hyperbolic spacetime diffeomorphic to for a closed orientable surface of genus $\geq 2…
Locally homogeneous Axiom A flows II: geometric structures for Anosov subgroups
Benjamin Delarue, Daniel Monclair, Andrew Sanders
Given a non-compact semisimple real Lie group and an Anosov subgroup , we utilize the correspondence between -valued additive characters on Levi subgroups of…
Locally homogeneous Axiom A flows I: projective Anosov subgroups and exponential mixing
Benjamin Delarue, Daniel Monclair, Andrew Sanders
By constructing a non-empty domain of discontinuity in a suitable homogeneous space, we prove that every torsion-free projective Anosov subgroup is the monodromy group of a locally…
Gromov-Thurston manifolds and anti-de Sitter geometry
Daniel Monclair, Jean-Marc Schlenker, Nicolas Tholozan
We consider hyperbolic and anti-de Sitter (AdS) structures on , where is a -dimensional Gromov-Thurston manifold. If has cone angles greater than , we…
The Riemannian geometry of the space of compact spacelike Cauchy hypersurfaces
Daniel Monclair
We study the geometry of a weak Riemannian metric on the infinite dimensional manifold of compact spacelike Cauchy hypersurfaces in a globally hyperbolic spacetime. We show that th…
Hausdorff dimension of limit sets for projective Anosov representations
Olivier Glorieux, Daniel Monclair, Nicolas Tholozan
We study the relation between critical exponents and Hausdorff dimensions of limit sets for projective Anosov representations. We prove that the Hausdorff dimension of the symmetri…
Regularity of limit sets of AdS quasi-Fuchsian groups
Olivier Glorieux, Daniel Monclair
Limit sets of -quasi-Fuchsian groups of are always Lipschitz submanifolds. The aim of this article is to show that they are never ,…
Critical exponent and Hausdorff dimension in pseudo-Riemannian hyperbolic geometry
Olivier Glorieux, Daniel Monclair
The aim of this article is to understand the geometry of limit sets in pseudo-Riemannian hyperbolic geometry. We focus on a class of subgroups of introduced by…
Attractors in spacetimes and time functions
Daniel Monclair
We develop a new approach to the existence of time functions on Lorentzian manifolds, based on Conley's work regarding Lyapunov functions for dynamical systems. We recover Hawking'…
Convergence groups and semi conjugacy
Daniel Monclair
We study a simple problem that arises from the study of Lorentz surfaces and Anosov flows. For a non decreasing map of degree one , we are intereste…
Isometries of Lorentz surfaces and convergence groups
Daniel Monclair
We study the isometry group of a globally hyperbolic spatially compact Lorentz surface. Such a group acts on the circle, and we show that when the isometry group acts non properly,…
Differentiable conjugacy for groups of area preserving circle diffeomorphisms
Daniel Monclair
We study groups of circle diffeomorphisms whose action on the cylinder preserves a volume form. We first show that such a grou…