Quasiconformal maps are generalizations of conformal maps. They started out being used in Nevanlinna's value distribution theory but now form a fundamental component of geometric function theory. This tag is for questions related to QC maps.
Questions tagged [quasiconformal-maps]
89 questions
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Locally quasiconformal implies quasiconformal
In Ahlfors' "Lectures on Quasiconformal Mappings," he shows that, using the geometric definition of K-quasiconformal, if a map between regions is locally K-quasiconformal then it is globally K-quasiconformal. At a critical step in the proof he…
Aaron Cohen
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Homeomorphism but not quasiconformal
Let $f:B^2(0,1)-\bar{B^2}(0,\frac{1}{2}) \to B^2(0,1)-{0}$ be a homeomorphism. To show that $f$ is not quasiconformal.
I can construct one such homeomorphism explicitly. However, I am not getting why such homeomorphism would not be quasiconformal.…
user1043248