Quantitative quasisymmetric uniformization of compact surfaces

DOI10.1090/proc/13722zbMath1387.30024arXiv1610.08896OpenAlexW2952711257MaRDI QIDQ4590984

Lukas Geyer, Kevin Wildrick

Publication date: 21 November 2017

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

Full work available at URL: https://arxiv.org/abs/1610.08896

zbMATH Keywords

uniformizationquasisymmetries

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Metric geometry (51F99) Quasiconformal mappings in the complex plane (30C62)

Related Items (3)

Canonical parametrizations of metric surfaces of higher topology ⋮ Polyhedral approximation of metric surfaces and applications to uniformization ⋮ Uniformization of metric surfaces using isothermal coordinates

Cites Work

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• Quasisymmetric Koebe uniformization
• Quasisymmetric parametrizations of two-dimensional metric spheres
• Lectures on analysis on metric spaces
• Quasisymmetric parametrizations of two-dimensional metric planes
• Quasi-Symmetric Embeddings in Euclidean Spaces
• Quasisymmetric embeddings of metric spaces
• Quasisymmetric structures on surfaces
• Quasiconformal Structures and the Metrization of 2-Manifolds

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