Quasisymmetric Koebe uniformization

DOI10.4171/RMI/743zbMath1294.30043arXiv1109.3441MaRDI QIDQ373504

Sergei Merenkov, Kevin Wildrick

Publication date: 17 October 2013

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.3441

zbMATH Keywords

metric spacesuniformizationquasiconformal mapping

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Quasiconformal mappings in metric spaces (30L10)

Related Items (16)

Canonical parametrizations of metric surfaces of higher topology ⋮ Quasisymmetrically co-Hopfian Menger curves and Sierpiński spaces ⋮ Canonical parameterizations of metric disks ⋮ Non-removability of the Sierpiński gasket ⋮ Quantitative quasisymmetric uniformization of compact surfaces ⋮ Quasisymmetric embeddings of slit Sierpiński carpets ⋮ Conformal uniformization of planar packings by disk packings ⋮ Thin Loewner Carpets and Their Quasisymmetric Embeddings in S² ⋮ Quasispheres and metric doubling measures ⋮ Uniformization of two-dimensional metric surfaces ⋮ Maximal metric surfaces and the Sobolev-to-Lipschitz property ⋮ Hyperbolic groups with planar boundaries ⋮ Regular mappings and non-existence of bi-Lipschitz embeddings for slit carpets ⋮ Rigidity theorems for circle domains ⋮ Quasiconformal Jordan domains ⋮ Quasisymmetric Koebe uniformization with weak metric doubling measures

Cites Work

• Invariant Peano curves of expanding Thurston maps
• Uniformization of Sierpiński carpets in the plane
• Quasisymmetric parametrizations of two-dimensional metric spheres
• Doubling conformal densities
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