Quasiconformal parametrization of metric surfaces with small dilatation

DOI10.1512/iumj.2019.68.7631zbMath1475.30127arXiv1703.05891OpenAlexW2963563592WikidataQ127572274 ScholiaQ127572274MaRDI QIDQ5237493

Matthew Romney

Publication date: 18 October 2019

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.05891

zbMATH Keywords

convex bodyquasiconformal mappingconformal modulus

Mathematics Subject Classification ID

Convex sets in (2) dimensions (including convex curves) (52A10) Quasiconformal mappings in metric spaces (30L10)

Related Items (6)

Coarea inequality for monotone functions on metric surfaces ⋮ Quasiconformal geometry and removable sets for conformal mappings ⋮ Polyhedral approximation of metric surfaces and applications to uniformization ⋮ Reciprocal lower bound on modulus of curve families in metric surfaces ⋮ Quasisymmetric Koebe uniformization with weak metric doubling measures ⋮ Uniformization of metric surfaces using isothermal coordinates

Cites Work

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• Area minimizing discs in metric spaces
• Uniformization of two-dimensional metric surfaces
• Quasisymmetric parametrizations of two-dimensional metric spheres
• Good metric spaces without good parameterizations
• Lectures on \(n\)-dimensional quasiconformal mappings
• Rectifiable Metric Spaces: Local Structure and Regularity of the Hausdorff Measure

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