Rigidity of circle polyhedra in the $2$-sphere and of hyperideal polyhedra in hyperbolic $3$-space

DOI10.1090/tran/7483zbMath1414.52015arXiv1703.09338OpenAlexW2614944118MaRDI QIDQ3120526

John C. Bowers, Philip L. Bowers, Kevin Pratt

Publication date: 5 March 2019

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

Full work available at URL: https://arxiv.org/abs/1703.09338

zbMATH Keywords

circle packinghyperbolic geometryMöbius transformationinversive distancehyperideal polyhedra

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Circle packings and discrete conformal geometry (52C26)

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Cites Work

• Non-rigidity of spherical inversive distance circle packings
• Rigidity of polyhedral surfaces. III.
• A characterization of compact convex polyhedra in hyperbolic 3-space
• A characterization of ideal polyhedra in hyperbolic 3-space
• Local rigidity of inversive distance circle packing
• Hyperideal polyhedra in hyperbolic 3-space
• Sur la rigidité de polyèdres hyperboliques en dimension $3$ : cas de volume fini, cas hyperidéal, cas fuchsien
• Uniformizing dessins and Belyĭ maps via circle packing
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