Geometric characterization for affine mappings and Teichmüller mappings

• Autorzy: Zhiguo Chen
• Języki publikacji: EN

Abstrakty

EN

We characterize affine mappings on the unit disk and on rectangles by module conditions. The main result generalizes the classic Schwarz lemma. As an application, we give a sufficient condition for a K-quasiconformal mapping on a Riemann surface to be a Teichmüller mapping.

Kategorie tematyczne

• 30F60: Teichm\"uller theory
• 30C62: Quasiconformal mappings in the plane
• 30C55: General theory of univalent and multivalent functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2003
• Tom: 157
• Numer: 1
• Strony: 71-82

Daty

wydano

2003

Twórcy

autor

Zhiguo Chen

• Department of Mathematics, XiXi campus, Zhejiang University, Hangzhou, Zhejiang, 310028, P.R. China

Identyfikatory

DOI

10.4064/sm157-1-6