On the density of geometrically finite Kleinian groups.

DOI10.1007/BF02441085zbMath1055.57020arXivmath/0212189MaRDI QIDQ1886158

Jeffrey F. Brock, Kenneth W. Bromberg

Publication date: 15 November 2004

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0212189

zbMATH Keywords

deformationKleinian grouphyperbolic cone-manifolddensity conjectureincompressible ends

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Related Items (41)

CANNON–THURSTON MAPS FOR KLEINIAN GROUPS ⋮ Convergence of freely decomposable Kleinian groups ⋮ Tameness on the boundary and Ahlfors' measure conjecture ⋮ Cone 3-Manifolds ⋮ Skinning maps ⋮ Hyperbolic cone-manifolds, short geodesics, and Schwarzian derivatives ⋮ Effective drilling and filling of tame hyperbolic 3-manifolds ⋮ Dehn filling and the geometry of unknotting tunnels ⋮ Algebraic and geometrix convergence of discrete representations into PSL\(_2\mathbb C\) ⋮ Effective bilipschitz bounds on drilling and filling ⋮ Non-realizability and ending laminations: proof of the density conjecture ⋮ Infinitesimal rigidity for cubulated manifolds ⋮ Constructing knots with specified geometric limits ⋮ The shape of hyperbolic Dehn surgery space ⋮ The Sullivan dictionary and Bowen-Series maps ⋮ QUASI-ISOMETRIC EMBEDDINGS INAPPROXIMABLE BY ANOSOV REPRESENTATIONS ⋮ The space of Kleinian punctured torus groups is not locally connected ⋮ Local topology in deformation spaces of hyperbolic 3-manifolds ⋮ Cannon-Thurston maps for surface groups ⋮ Deformation spaces of Kleinian surface groups are not locally connected ⋮ Geometric inflexibility of hyperbolic cone-manifolds ⋮ The classification of Kleinian surface groups. II: The Ending lamination conjecture ⋮ Geodesic systems of tunnels in hyperbolic 3-manifolds ⋮ Divergence, exotic convergence and self-bumping in quasi-Fuchsian spaces ⋮ Ubiquitous quasi-Fuchsian surfaces in cusped hyperbolic 3-manifolds ⋮ Connectivity of the space of ending laminations ⋮ Realising end invariants by limits of minimally parabolic, geometrically finite groups ⋮ Injectivity radii of hyperbolic integer homology 3-spheres ⋮ On the rigidity of hyperbolic cone-manifolds ⋮ Bounds on exceptional Dehn filling. II ⋮ Shrinkwrapping and the taming of hyperbolic 3-manifolds ⋮ A Glimpse into Thurston’s Work ⋮ The Double Limit Theorem and Its Legacy ⋮ Teichmüller Theory, Thurston Theory, Extremal Length Geometry and Complex Analysis ⋮ Discontinuous motions of limit sets ⋮ Effective distance between nested Margulis tubes ⋮ Local topology in deformation spaces of hyperbolic 3-manifolds. II. ⋮ Constructing geometrically infinite groups on boundaries of deformation spaces ⋮ Hyperbolic 4-manifolds with perfect circle-valued Morse functions ⋮ Geometry of Kleinian groups and its applications ⋮ Unnamed Item

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