We present a condition on a loxodromic element L of a Kleinian group G which guarantees that L cannot be made parabolic on the boundary of the deformation space of G, namely that the fixed points of L are separated by the limit set of a subgroup F of G which is a finitely generated quasifuchsian group of the first kind. The proof uses the collar theorem for short geodesics in hyperbolic 3-manifolds.
We give a version of Shimizu’s lemma for groups of complex hyperbolic isometries one of whose genera...
If a torsion-free hyperbolic group G has 1-dimensional boundary ∂∞G, then ∂∞G is a Menger curve or a...
AbstractWe study those groups that act properly discontinuously, cocompactly, and isometrically on C...
We present here a complete classification of those Kleinian groups which have an invariant region of...
Our small group convened to discuss, informally, current and new directions for research in Kleinian...
Abstract. We give a brief survey of recent results concerning the boundaries of deformation spaces o...
We study limits of quasi-Fuchsian groups for which the bending measures on the convex hull boundary ...
A Kleinian group is, by definition, a group of orientation preserving isometries of the 3-dimensiona...
If a torsion-free hyperbolic group G has 1-dimensional boundary @ 1 G, then 1 G is a Menger curve or...
This new version contains a proof of the quasi-isometric rigidity of the class of convex-cocompact K...
International audienceWe consider a compact orientable hyperbolic 3-manifold with a compressible bou...
International audienceWe consider a compact orientable hyperbolic 3-manifold with a compressible bou...
Abstract. We consider the problem of characterizing topologically the action of a Kleinian group on ...
The deformation space of a hyperbolizable three-manifold M is the space of isometry classes of marke...
We show that the limit set of a relatively hyperbolic group with no separating horoball is locally c...
We give a version of Shimizu’s lemma for groups of complex hyperbolic isometries one of whose genera...
If a torsion-free hyperbolic group G has 1-dimensional boundary ∂∞G, then ∂∞G is a Menger curve or a...
AbstractWe study those groups that act properly discontinuously, cocompactly, and isometrically on C...
We present here a complete classification of those Kleinian groups which have an invariant region of...
Our small group convened to discuss, informally, current and new directions for research in Kleinian...
Abstract. We give a brief survey of recent results concerning the boundaries of deformation spaces o...
We study limits of quasi-Fuchsian groups for which the bending measures on the convex hull boundary ...
A Kleinian group is, by definition, a group of orientation preserving isometries of the 3-dimensiona...
If a torsion-free hyperbolic group G has 1-dimensional boundary @ 1 G, then 1 G is a Menger curve or...
This new version contains a proof of the quasi-isometric rigidity of the class of convex-cocompact K...
International audienceWe consider a compact orientable hyperbolic 3-manifold with a compressible bou...
International audienceWe consider a compact orientable hyperbolic 3-manifold with a compressible bou...
Abstract. We consider the problem of characterizing topologically the action of a Kleinian group on ...
The deformation space of a hyperbolizable three-manifold M is the space of isometry classes of marke...
We show that the limit set of a relatively hyperbolic group with no separating horoball is locally c...
We give a version of Shimizu’s lemma for groups of complex hyperbolic isometries one of whose genera...
If a torsion-free hyperbolic group G has 1-dimensional boundary ∂∞G, then ∂∞G is a Menger curve or a...
AbstractWe study those groups that act properly discontinuously, cocompactly, and isometrically on C...