Add to ORKGWe study limits of quasi-Fuchsian groups for which the bending measures on the convex hull boundary tend to zero, giving necessary and sufficient conditions for the limit group to exist and be Fuchsian. As an application, we complete the proof of a conjecture made in [24, Conjecture 6.5], that the closures of pleating varieties for quasi-Fitchsian groups meet Fuchsian space exactly in Kerckhoffs lines of minima of length functions. Doubling our examples gives rise to a large class of cone manifolds which degenerate to hyperbolic surfaces as the cone angles approach 2 pi
Let Γ be a Fuchsian group, that is, a discrete isometry group of the hyperbolic plane. In the unit d...
Geometrization theorem, fibered case: Every three-manifold that fibers over the circle admi...
Geometrization theorem, fibered case: Every three-manifold that fibers over the circle admi...
We show how Kerckhoff's results on minima of length functions on Teichmuller space can be used to an...
In this paper we give a complete description of the space QF of quasifuchsian punctured torus groups...
AbstractIn this paper we give a complete description of the space QF of quasifuchsian punctured toru...
Abstract. An almost-Fuchsian group Γ < Isom+(H3) is a quasi-Fuchsi-an group such that the quotien...
In this paper we give a complete description of the space 2F of quasifachsian punctured torus groups...
We give an explicit description of some pleating varieties (sets with a fixed set of bending lines i...
We construct quasiconformal deformations of convergence type Fuchsian groups such that the resulting...
textWe construct Fuchsian groups [Gamma] of signature (0 : 2, ... ,2 ;1;0) so that the set of hyperb...
Geometrically infinite Kleinian groups have non-conical limit sets with the cardinality of the conti...
Geometrically infinite Kleinian groups have non-conical limit sets with the cardinality of the conti...
Let H be the upper half-plane equipped with the hyperbolic metric jdzj/Imz, and Γ a Fuchsian group a...
In this paper we consider families of finitely generated Kleinian groups {G(mu)} that depend holomor...
Let Γ be a Fuchsian group, that is, a discrete isometry group of the hyperbolic plane. In the unit d...
Geometrization theorem, fibered case: Every three-manifold that fibers over the circle admi...
Geometrization theorem, fibered case: Every three-manifold that fibers over the circle admi...
We show how Kerckhoff's results on minima of length functions on Teichmuller space can be used to an...
In this paper we give a complete description of the space QF of quasifuchsian punctured torus groups...
AbstractIn this paper we give a complete description of the space QF of quasifuchsian punctured toru...
Abstract. An almost-Fuchsian group Γ < Isom+(H3) is a quasi-Fuchsi-an group such that the quotien...
In this paper we give a complete description of the space 2F of quasifachsian punctured torus groups...
We give an explicit description of some pleating varieties (sets with a fixed set of bending lines i...
We construct quasiconformal deformations of convergence type Fuchsian groups such that the resulting...
textWe construct Fuchsian groups [Gamma] of signature (0 : 2, ... ,2 ;1;0) so that the set of hyperb...
Geometrically infinite Kleinian groups have non-conical limit sets with the cardinality of the conti...
Geometrically infinite Kleinian groups have non-conical limit sets with the cardinality of the conti...
Let H be the upper half-plane equipped with the hyperbolic metric jdzj/Imz, and Γ a Fuchsian group a...
In this paper we consider families of finitely generated Kleinian groups {G(mu)} that depend holomor...
Let Γ be a Fuchsian group, that is, a discrete isometry group of the hyperbolic plane. In the unit d...
Geometrization theorem, fibered case: Every three-manifold that fibers over the circle admi...
Geometrization theorem, fibered case: Every three-manifold that fibers over the circle admi...