Kleinian groups and geometric function theory
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Publication:6610516
DOI10.1007/978-3-031-43502-7_7zbMATH Open1548.30055MaRDI QIDQ6610516
Hiroshige Shiga, Toshiyuki Sugawa
Publication date: 25 September 2024
Research exposition (monographs, survey articles) pertaining to functions of a complex variable (30-02) Teichmüller theory for Riemann surfaces (30F60) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Quasiconformal mappings in the complex plane (30C62)
Cites Work
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- Extending holomorphic motions
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- John disks
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- Univalent functions and the Schwarzian derivative
- Uniformly perfect sets and the Poincaré metric
- Spirals and the universal Teichmüller space
- The classification of punctured-torus groups
- Kleinian groups and John domains
- Hausdorff dimension and Kleinian groups
- Limit points of Kleinian groups and finite sided fundamental polyhedra
- Teichmüller spaces and tame quasiconformal motions
- Conformally natural extension of homeomorphisms of the circle
- Cannon-Thurston maps for surface groups
- Group invariant Peano curves
- Projective structures with degenerate holonomy and the Bers density conjecture
- A non-standard integral equation with applications to quasi-conformal mappings
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- A Uniqueness Theorem for Beltrami Equations
- Jordan Domains and The Universal Teichmuller Space
- Teichmüller Theory, Thurston Theory, Extremal Length Geometry and Complex Analysis
- Holder Domains and Poincare Domains
- Riemann mappings of invariant components of Kleinian groups
- A Geometric Characterization of Hölder Domains
- The Poincaré Metric of Plane Domains
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- Holomorphic Motions and Teichmuller Spaces
- Uniformly Perfect Sets and Quasiregular Mappings
- On the local connectivity of limit sets of kleinian groups
- The Schwarzian derivative and schlicht functions
- Remarks on a paper by Zeev Nehari
- Divergence groups have the Bowen property
- Local connectivity, Kleinian groups and geodesics on the blowup of the torus.
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