Spectral theory, Hausdorff dimension and the topology of hyperbolic 3-manifolds

DOI10.1007/BF02923086zbMath0957.57012arXivmath/9810124OpenAlexW2059088246WikidataQ126176828 ScholiaQ126176828MaRDI QIDQ1589336

Edward C. Taylor, Richard D. Canary, Yair N. Minsky

Publication date: 11 December 2000

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9810124

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50)

Related Items

Isospectral finiteness on convex cocompact hyperbolic 3-manifolds, An introduction to pressure metrics for higher Teichmüller spaces, QUASI-ISOMETRIC EMBEDDINGS INAPPROXIMABLE BY ANOSOV REPRESENTATIONS, Hyperbolic convex cores and simplicial volume, Large and small covers of a hyperbolic manifold, On the spectral theory and dynamics of asymptotically hyperbolic manifolds, Conformal dimension and canonical splittings of hyperbolic groups, The Double Limit Theorem and Its Legacy, Conformal dimension and combinatorial modulus of compact metric spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Hausdorff dimension of the limit set of a geometrically finite Kleinian group
• Volume and bounded cohomology
• Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups
• Valuations, trees, and degenerations of hyperbolic structures. I
• Hyperbolic structures on 3-manifolds. I: Deformation of acylindrical manifolds
• Bouts des variétés hyperboliques de dimension 3. (Ends of hyperbolic 3-dimensional manifolds)
• The density at infinity of a discrete group of hyperbolic motions
• The real analytic theory of Teichmüller space
• Lectures on hyperbolic geometry
• On the Laplacian and the geometry of hyperbolic 3-manifolds
• Kleinian groups with small limit sets
• Volumes of hyperbolic Haken manifolds. I
• Geometric finiteness and the convergence of Kleinian groups
• Hausdorff dimension and Kleinian groups
• A Schläfli-type formula for convex cores of hyperbolic \(3\)-manifolds
• Related aspects of positivity in Riemannian geometry
• A Kaluza-Klein approach to hyperbolic three-manifolds
• Quasi-conformal mappings in n-space and the rigidity of hyperbolic space forms
• Uniqueness of Cores of Non-Compact 3-Manifolds
• Cobordism of automorphisms of surfaces
• Homeomorphisms of 3-manifolds with compressible boundary
• Algebraic and geometric convergence of Kleinian groups.
• Geometrically convergent Kleinian groups and the lowest eigenvalue of the Laplacian
• Homotopy equivalences of 3-manifolds and deformation theory of Kleinian groups
• The Hausdorff Dimension of Singular Sets of Properly Discontinuous Groups