Koebe problems and Teichmüller theory

DOI10.1007/s10114-005-0669-3zbMath1101.30045OpenAlexW2124860181MaRDI QIDQ2508618

Jinsong Liu

Publication date: 13 October 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0669-3

zbMATH Keywords

Riemann surfacesKleinian groupsquasiconformal deformation theoryTeichmueller theory

Mathematics Subject Classification ID

Teichmüller theory for Riemann surfaces (30F60) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Circle packings and discrete conformal geometry (52C26)

Cites Work

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• Riemann's mapping theorem for variable metrics
• The convergence of circle packings to the Riemann mapping
• On the deformation theory of classical Schottky groups
• The real analytic theory of Teichmüller space
• The geometry of finitely generated Kleinian groups
• Fixed points, Koebe uniformization and circle packings