On the degeneration of Schottky groups.

DOI10.1215/S0012-7094-94-07429-2zbMath0828.57008MaRDI QIDQ1331765

Jean-Pierre Otal

Publication date: 7 January 1996

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Teichmüller spacehyperbolic surfaceminimal laminationsSchottky groupshandlebody of genus 2measured laminationMasur domainaction on an \(R\)-treegeometrically finite structures on a 3-dimensional handlebodysequence of quasifuchsian groupssequences of hyperbolic structuressmall stabilizers

Mathematics Subject Classification ID

Related Items (9)

Convergence of freely decomposable Kleinian groups ⋮ Heegaard splittings and pseudo-Anosov maps ⋮ Non-realizability and ending laminations: proof of the density conjecture ⋮ Continuity of the bending map ⋮ Pleating of hyperbolic 3-manifolds ⋮ Divergent sequences of function groups ⋮ The Double Limit Theorem and Its Legacy ⋮ Local topology in deformation spaces of hyperbolic 3-manifolds. II. ⋮ Geometry of Kleinian groups and its applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Valuations, trees, and degenerations of hyperbolic structures. I
• Degenerations of the hyperbolic space
• Degenerations of hyperbolic structures. III: Actions of 3-manifold groups on trees and Thurston's compactness theorem
• Bouts des variétés hyperboliques de dimension 3. (Ends of hyperbolic 3-dimensional manifolds)
• Topologie de Gromov équivariante, structures hyperboliques et arbres réels. (Equivariant Gromov topology, hyperbolic structures, and \({\mathbb{R}}\)-trees)
• Relative growth rates of closed geodesics on a surface under varying hyperbolic structures
• Three remarks on geodesic dynamics and fundamental group
• Measured foliations and handlebodies
• On the geometry and dynamics of diffeomorphisms of surfaces
• Algebraic Convergence of Schottky Groups

This page was built for publication: On the degeneration of Schottky groups.