Uniformization of metric surfaces using isothermal coordinates
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Publication:5024062
DOI10.54330/afm.112781zbMath1483.30103arXiv1909.09113OpenAlexW2973665268WikidataQ110867548 ScholiaQ110867548MaRDI QIDQ5024062
Publication date: 28 January 2022
Published in: Annales Fennici Mathematici (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.09113
Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Quasiconformal mappings in metric spaces (30L10)
Related Items
Canonical parametrizations of metric surfaces of higher topology, 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, Pullback of a quasiconformal map between arbitrary metric measure spaces
Cites Work
- Uniformization of two-dimensional metric surfaces
- Riemann's mapping theorem for variable metrics
- Quasisymmetric parametrizations of two-dimensional metric spheres
- Bi-Lipschitz parameterization of surfaces
- Rectifiable sets in metric and Banach spaces
- Intrinsic structure of minimal discs in metric spaces
- Uniformization with infinitesimally metric measures
- Absolutely continuous functions with values in a metric space
- Quasiconformal geometry and removable sets for conformal mappings
- Analytic properties of locally quasisymmetric mappings from Euclidean domains
- Quantitative quasisymmetric uniformization of compact surfaces
- Sobolev Spaces on Metric Measure Spaces
- Quasiconformal parametrization of metric surfaces with small dilatation
- Geometric and analytic quasiconformality in metric measure spaces
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