Given a geometrically finite hyperbolic cone-manifold, with the cone-singularity sufficiently short, we construct a one-parameter family of cone-manifolds decreasing the cone-angle to zero. We also control the geometry of this one-parameter family via the Schwarzian derivative of the projective boundary and the length of closed geodesics
Geometrization theorem, fibered case: Every three-manifold that fibers over the circle admi...
Starting with a compact hyperbolic cone-manifold of dimension n>2, we study the deformations of the ...
Troels Jørgensen conjectured that the algebraic and geometric limits of an algebraically convergent ...
Given a geometrically finite hyperbolic cone-manifold, with the cone-singularity sufficiently short,...
We give effective bilipschitz bounds on the change in metric between thick parts of a cusped hyperbo...
peer reviewedWe consider 3-dimensional hyperbolic cone-manifolds, singular along infinite lines, whi...
In this paper we deepen the analysis of certain classes M_{g,k} of hyperbolic 3-manifolds that were ...
Abstract. This work is devoted to the study of deformations of hyperbolic cone structures under the ...
Given a closed, oriented, smooth surface $Sigma$ of negative Euler characteristic, the relationships...
We bound the derivative of complex length of a geodesic under variation of the projective structure ...
We introduce a new technique for finding CAT(-1) surfaces in hyperbolic 3-manifolds. We use this to ...
L'objet de cette thèse est l'étude des déformations de structures hyperboliques coniques de type top...
Denote by W (m; n) the hyperbolic cone-manifold whose underlying space is the 3-sphere and singular ...
Geometrization theorem, fibered case: Every three-manifold that fibers over the circle admi...
Starting with a compact hyperbolic cone-manifold of dimension n>2, we study the deformations of the ...
Geometrization theorem, fibered case: Every three-manifold that fibers over the circle admi...
Starting with a compact hyperbolic cone-manifold of dimension n>2, we study the deformations of the ...
Troels Jørgensen conjectured that the algebraic and geometric limits of an algebraically convergent ...
Given a geometrically finite hyperbolic cone-manifold, with the cone-singularity sufficiently short,...
We give effective bilipschitz bounds on the change in metric between thick parts of a cusped hyperbo...
peer reviewedWe consider 3-dimensional hyperbolic cone-manifolds, singular along infinite lines, whi...
In this paper we deepen the analysis of certain classes M_{g,k} of hyperbolic 3-manifolds that were ...
Abstract. This work is devoted to the study of deformations of hyperbolic cone structures under the ...
Given a closed, oriented, smooth surface $Sigma$ of negative Euler characteristic, the relationships...
We bound the derivative of complex length of a geodesic under variation of the projective structure ...
We introduce a new technique for finding CAT(-1) surfaces in hyperbolic 3-manifolds. We use this to ...
L'objet de cette thèse est l'étude des déformations de structures hyperboliques coniques de type top...
Denote by W (m; n) the hyperbolic cone-manifold whose underlying space is the 3-sphere and singular ...
Geometrization theorem, fibered case: Every three-manifold that fibers over the circle admi...
Starting with a compact hyperbolic cone-manifold of dimension n>2, we study the deformations of the ...
Geometrization theorem, fibered case: Every three-manifold that fibers over the circle admi...
Starting with a compact hyperbolic cone-manifold of dimension n>2, we study the deformations of the ...
Troels Jørgensen conjectured that the algebraic and geometric limits of an algebraically convergent ...