A characterisation of plane quasiconformal maps using triangles

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2008 A characterisation of plane quasiconformal maps using triangles

Javier Aramayona, Peter Haïssinsky

Publ. Mat. 52(2): 459-471 (2008).

Abstract

We show that an injective continuous map between planar regions which distorts vertices of equilateral triangles by a small amount is quasiconformal.

Javier Aramayona. Peter Haïssinsky. "A characterisation of plane quasiconformal maps using triangles." Publ. Mat. 52 (2) 459 - 471, 2008.

Published: 2008

First available in Project Euclid: 5 August 2008

MathSciNet: MR2436734

Subjects:

Primary: 30C62

Keywords: conformal property , Planar quasiconformal maps , skewedness of triangles

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Vol.52 • No. 2 • 2008