A characterisation of plane quasiconformal maps using triangles

A characterisation of plane quasiconformal maps using triangles

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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Veröffentlicht in:Publicacions matemàtiques 2008, Vol.52 (2), p.459-471
Hauptverfasser: Aramayona, J., Haïssinsky, P.
Format: Artikel
Sprache:eng
Schlagworte:
30C62
Character maps
conformal property
Conformity
Geometric planes
Homeomorphism
Planar quasiconformal maps
skewedness of triangles
Triangles
Vertices
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Beschreibung
Zusammenfassung:We show that an injective continuous map between planar regions which distorts vertices of equilateral triangles by a small amount is quasiconformal.
ISSN:0214-1493
2014-4350
DOI:10.5565/PUBLMAT_52208_10