The set of circle packing points in the Teichmüller space of a surface of finite conformal type is dense

DOI10.1017/S0305004100075575zbMath0756.30036OpenAlexW2018185287MaRDI QIDQ4008587

Philip L. Bowers, Kenneth Stephenson

Publication date: 27 September 1992

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100075575

zbMATH Keywords

Teichmüller spacecircle packingclosed Riemann surfacetangent circlesconformal homeomorphismfinite area Riemann surfaceoriented topological surfaceTeichmüller-metric

Mathematics Subject Classification ID

Teichmüller theory for Riemann surfaces (30F60)

Related Items (8)

Packable hyperbolic surfaces with symmetries ⋮ Discrete welding on Riemann surfaces ⋮ Conformal tilings I: foundations, theory, and practice ⋮ Circle packing coordinates for the moduli space of tori ⋮ Combinatorics Encoding Geometry: The Legacy of Bill Thurston in the Story of One Theorem ⋮ Constructing quasiconformal maps using circle packings and Brooks's parameterization of quadrilaterals ⋮ Noncompact surfaces are packable ⋮ Earthquakes and circle packings.

Cites Work

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• Riemann's mapping theorem for variable metrics
• Circle packings and co-compact extensions of Kleinian groups
• On the deformation theory of classical Schottky groups
• Circle packings in the approximation of conformal mappings
• Finite dimensional Teichmüller spaces and generalizations
• ON CONVEX POLYHEDRA OF FINITE VOLUME IN LOBAČEVSKIĬ SPACE

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