Abstract
We show that an injective continuous map between planar regions which distorts vertices of equilateral triangles by a small amount is quasiconformal.
Citation
Javier Aramayona. Peter Haïssinsky. "A characterisation of plane quasiconformal maps using triangles." Publ. Mat. 52 (2) 459 - 471, 2008.
Information
Published: 2008
First available in Project Euclid: 5 August 2008
zbMATH: 1156.30016
MathSciNet: MR2436734
Subjects:
Primary:
30C62
Keywords:
conformal property
,
Planar quasiconformal maps
,
skewedness of triangles
Rights: Copyright © 2008 Universitat Autònoma de Barcelona, Departament de Matemàtiques
