On the Teichmüller theory of circle patterns

DOI10.1090/S0002-9947-2013-05892-8zbMath1318.30017OpenAlexW2012017885MaRDI QIDQ2855939

Jinsong Liu, Zheng-Xu He

Publication date: 23 October 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-2013-05892-8

zbMATH Keywords

Teichmüller spacequasiconformal mappingcircle pattern

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Teichmüller theory for Riemann surfaces (30F60)

Related Items (6)

Characterizations of circle patterns and finite convex polyhedra in hyperbolic 3-space ⋮ Approximation of quasiconformal mappings by SG circle patterns ⋮ Packing disks by flipping and flowing ⋮ Circle patterns on surfaces of finite topological type revisited ⋮ How many cages midscribe an egg ⋮ Intersection number and stability of some inscribable graphs

Cites Work

• The convergence of circle packings to the Riemann mapping
• On the deformation theory of classical Schottky groups
• The Schwarz-Pick lemma for circle packings
• A characterization of compact convex polyhedra in hyperbolic 3-space
• The \(C^\infty\)-convergence of hexagonal disk packings to the Riemann map
• Rigidity of infinite disk patterns
• Second derivatives of circles packings and conformal mappings
• On the convergence of circle packings to the Riemann map
• Connections and conformal mapping
• Circle packings in the approximation of conformal mappings
• Rigidity of Infinite (Circle) Packings
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