A characterisation of plane quasiconformal maps using triangles

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

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Aramayona, J.; Haïssinsky, P. «A characterisation of plane quasiconformal maps using triangles». Publicacions Matemàtiques, 2008, vol.VOL 52, núm. 2, p. 459-71, http://raco.cat/index.php/PublicacionsMatematiques/article/view/113445.