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.
| Autores: | , |
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| Tipo de documento: | artigo |
| Data de publicação: | 2008 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositório: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglês |
| OAI Identifier: | oai:ddd.uab.cat:28269 |
| Acesso em linha: | https://ddd.uab.cat/record/28269 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_52208_10 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Planar quasiconformal maps Skewedness of triangles Conformal property |
| Resumo: | 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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