Circle patterns on surfaces of finite topological type

DOI10.1353/ajm.2021.0035zbMath1491.57013arXiv1909.03419OpenAlexW3204984001WikidataQ125121558 ScholiaQ125121558MaRDI QIDQ5014714

Bobo Hua, Ze Zhou, Huabin Ge

Publication date: 8 December 2021

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.03419

zbMATH Keywords

circle patternscompact surfacescombinatorial Ricci flows

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) PL-topology (57Q99) Circle packings and discrete conformal geometry (52C26) Triangulating (57R05) Ricci flows (53E20) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20) Discrete differential geometry (53A70)

Related Items (3)

Rigidity of bordered polyhedral surfaces ⋮ A combinatorial curvature flow in spherical background geometry ⋮ A generalized combinatorial Ricci flow on surfaces of finite topological type

Uses Software

• CirclePack

Cites Work

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• On the deformation of inversive distance circle packings. II
• How to cage an egg
• Minimal surfaces from circle patterns: geometry from combinatorics
• The convergence of circle packings to the Riemann mapping
• A variational principle for circle packings.
• Square tilings with prescribed combinatorics
• Euclidean structures on simplicial surfaces and hyperbolic volume
• Rigidity of inversive distance circle packings revisited
• Combinatorial Ricci flows on surfaces.
• A characterization of ideal polyhedra in hyperbolic 3-space
• Combinatorial Ricci flows for ideal circle patterns
• A Discrete Ricci Flow on Surfaces with Hyperbolic Background Geometry
• How many cages midscribe an egg

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