Characterizations of circle patterns and finite convex polyhedra in hyperbolic 3-space

DOI10.1007/s00208-016-1433-yzbMath1456.52025OpenAlexW2462119668MaRDI QIDQ2396222

Xiaojun Huang, Jinsong Liu

Publication date: 7 June 2017

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-016-1433-y

zbMATH Keywords

Teichmüller spacesRiemann spherequasiconformal deformationfinite convex polyhedrafinite circle patterns

Mathematics Subject Classification ID

Three-dimensional polytopes (52B10) Harmonic functions on Riemann surfaces (30F15) Teichmüller theory for Riemann surfaces (30F60) Circle packings and discrete conformal geometry (52C26)

Related Items (3)

Circle patterns on surfaces of finite topological type revisited ⋮ Centering koebe polyhedra via Möbius transformations ⋮ On the deformation of inversive distance circle packings, I

Cites Work

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• On the convergence of circle packings to the Riemann map
• Connections and conformal mapping
• On the Teichmüller theory of circle patterns
• Circle packings in the approximation of conformal mappings
• Rigidity of Infinite (Circle) Packings

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