Geometric characterization for affine mappings and Teichmüller mappings

Zhiguo Chen

Studia Mathematica (2003)

  • Volume: 157, Issue: 1, page 71-82
  • ISSN: 0039-3223

Abstract

top
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.

How to cite

top

Zhiguo Chen. "Geometric characterization for affine mappings and Teichmüller mappings." Studia Mathematica 157.1 (2003): 71-82. <http://eudml.org/doc/284730>.

@article{ZhiguoChen2003,
abstract = {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.},
author = {Zhiguo Chen},
journal = {Studia Mathematica},
keywords = {extremal length; -quasiconformal mapping; Teichmüller mapping},
language = {eng},
number = {1},
pages = {71-82},
title = {Geometric characterization for affine mappings and Teichmüller mappings},
url = {http://eudml.org/doc/284730},
volume = {157},
year = {2003},
}

TY - JOUR
AU - Zhiguo Chen
TI - Geometric characterization for affine mappings and Teichmüller mappings
JO - Studia Mathematica
PY - 2003
VL - 157
IS - 1
SP - 71
EP - 82
AB - 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.
LA - eng
KW - extremal length; -quasiconformal mapping; Teichmüller mapping
UR - http://eudml.org/doc/284730
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.