Quasi-conformal maps and the asymptotic geometry of manifolds

DOI10.1070/RM2002v057n03ABEH000510zbMath1042.30011OpenAlexW1974629664MaRDI QIDQ4469779

Vladimir A. Zorich

Publication date: 22 June 2004

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm2002v057n03abeh000510

zbMATH Keywords

capacityisoperimetric inequalityhyperbolicityLiouville's theoremparabolicitymodulusprime endquasi-conformal mappingPicard's Theorem

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Compact Riemann surfaces and uniformization (30F10) Ideal boundary theory for Riemann surfaces (30F25) Extremal problems for conformal and quasiconformal mappings, variational methods (30C70) Capacity and harmonic measure in the complex plane (30C85) Quasiconformal mappings in the complex plane (30C62) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items (7)

On Repeated Sequential Closures of Constructible Functions in Valuations ⋮ Toward the theory of Orlicz–Sobolev classes ⋮ On recent advances in the Beltrami equations ⋮ On the isotopy problem for quasiconformal mappings ⋮ On a problem of the constructive theory of harmonic mappings ⋮ On the boundary behavior of quasiconformal mappings ⋮ Vladimir Antonovich Zorich

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