Shears for quasisymmetric maps
Author:
- Dragomir ŠarićDŠDragomir Šarić
- 29 March 2021
- journal article
- research article
- Published by American Mathematical Society (AMS) in Proceedings of the American Mathematical Society
- Vol. 149 (6) , 2487-2499
Abstract
We give an elementary proof of a theorem that characterizes quasisymmetric maps of the unit circle in terms of shear coordinates on the Farey tesselation. The proof only uses the normal family argument for quasisymmetric maps and some elementary hyperbolic geometry.Keywords
All Related Versions
This publication has 16 references indexed in Scilit:
- A Thurston boundary for infinite-dimensional Teichmüller spacesMathematische Annalen, 2021
- Low-Dimensional Geometry2009
- Quasisymmetric groupsJournal of the American Mathematical Society, 2006
- Weil-Petersson metric on the universal Teichmüller spaceMemoirs of the American Mathematical Society, 2006
- Quasiconformal Teichmüller Theory1999
- Universal Constructions in Teichmüller TheoryAdvances in Mathematics, 1993
- Teichm ller spaces and BMOAMathematische Annalen, 1991
- Conformally natural extension of homeomorphisms of the circleActa Mathematica, 1986
- Quasiconformal Mappings in the Plane1973
- The boundary correspondence under quasiconformal mappingsActa Mathematica, 1956