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Geometry of Kleinian groups and its applications (Q5022290)

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scientific article; zbMATH DE number 7458831

Language	Label	Description	Also known as
English	Geometry of Kleinian groups and its applications	scientific article; zbMATH DE number 7458831

Statements

scholarly article

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Geometry of Kleinian groups and its applications (English)

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Ken'ichi Ohshika

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Sugaku Expositions

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publication date

18 January 2022

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zbMATH Keywords

Kleinian groups

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Thurston

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1090/suga/460

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Algebraic limits of Kleinian groups which rearrange the pages of a book

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Strong convergence of Kleinian groups: the cracked eggshell

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Finitely Generated Kleinian Groups

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Simultaneous uniformization

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On boundaries of Teichmüller spaces and on Kleinian groups. I

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Hausdorff dimension and Kleinian groups

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Bouts des variétés hyperboliques de dimension 3. (Ends of hyperbolic 3-dimensional manifolds)

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The Cannon-Thurston map for punctured-surface groups

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Notes on Tameness

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Iteration of mapping classes and limits of hyperbolic 3-manifolds

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On the density of geometrically finite Kleinian groups.

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Convergence properties of end invariants

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Tameness on the boundary and Ahlfors' measure conjecture

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The classification of Kleinian surface groups. II: The Ending lamination conjecture

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Algebraic limits of geometrically finite manifolds are tame

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Projective structures with degenerate holonomy and the Bers density conjecture

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The space of Kleinian punctured torus groups is not locally connected

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Shrinkwrapping and the taming of hyperbolic 3-manifolds

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Algebraic Convergence of Schottky Groups

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Ends of Hyperbolic 3-Manifolds

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Dynamics on PSL(2, \(\mathbb C\))-character varieties: 3-manifolds with toroidal boundary components

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On limits of tame hyperbolic 3-manifolds

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Moduli spaces of hyperbolic 3-manifolds and dynamics on character varieties

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Group invariant Peano curves

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Seifert fibered spaces in 3-manifolds

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Primitive stable representations of free Kleinian groups

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Homotopy equivalences of 3-manifolds with boundaries

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Primitive stable closed hyperbolic 3-manifolds

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Convergence of freely decomposable Kleinian groups

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Algebraic convergence of function groups

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Non-continuity of the action of the modular group at Bers' boundary of Teichmüller space

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Semiconjugacies between Kleinian group actions on the Riemann sphere

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Dynamics on the PSL(2,\(\mathbb{C}\))-character variety of a compression body

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Dynamics on the PSL(2, \(\mathbb C\))-character variety of a twisted \(I\)-bundle

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Dynamics of Aut(Fn) Actions on Group Presentations and Representations

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Deformation spaces of Kleinian surface groups are not locally connected

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The geometry of finitely generated Kleinian groups

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Geometry of the complex of curves. I: Hyperbolicity

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Geometry of the complex of curves. II: Hierarchical structure

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COMPACT SUBMANIFOLDS OF 3-MANIFOLDS WITH BOUNDARY

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Complex earthquakes and Teichmüller theory

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Local connectivity, Kleinian groups and geodesics on the blowup of the torus.

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Teichmüller geodesics and ends of hyperbolic 3-manifolds

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On Rigidity, Limit Sets, and End Invariants of Hyperbolic 3-Manifolds

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The classification of punctured-torus groups

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The classification of Kleinian surface groups. I: Models and bounds

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On dynamics of \(\mathrm{Out}(F_n)\) on \(\mathrm{PSL}_2(\mathbb C)\) characters

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Cannon-Thurston maps for surface groups

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CANNON–THURSTON MAPS FOR KLEINIAN GROUPS

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Discontinuous motions of limit sets

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Limits of limit sets. I

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Non-realizability and ending laminations: proof of the density conjecture

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Geometric finiteness theorems via controlled topology

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Ending Laminations and Boundaries for Deformation Spaces of Kleinian Groups

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Geometrically finite kleinian groups and parabolic elements

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Rigidity and topological conjugates of topologically tame Kleinian groups

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Kleinian groups which are limits of geometrically finite groups

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Realising end invariants by limits of minimally parabolic, geometrically finite groups

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Reduced Bers boundaries of Teichmüller spaces

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Divergence, exotic convergence and self-bumping in quasi-Fuchsian spaces

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Geometry and Topology of Geometric Limits I

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On the degeneration of Schottky groups.

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William P. Thurston: ``Three-dimensional manifolds, Kleinian groups and hyperbolic geometry''

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Compact Submanifolds of 3-Manifolds

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Existence of ruled wrappings in hyperbolic 3-manifolds

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Three dimensional manifolds, Kleinian groups and hyperbolic geometry

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Hyperbolic structures on 3-manifolds. I: Deformation of acylindrical manifolds

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1090/SUGA/460

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Sitelinks

Mathematics(1 entry)

mardi Publication:5022290

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