Calculus of Variations and Geometric Measure Theory
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K. Fässler - P. Koskela - E. Le Donne

Nonexistence of quasiconformal maps between certain metric measure spaces

created by ledonne on 21 Dec 2018



Inserted: 21 dec 2018

Year: 2013

ArXiv: 1312.1305 PDF


We provide new conditions that ensure that two metric measure spaces are not quasiconformally equivalent. As an application we deduce that there exists no quasiconformal map between the sub-Riemannian Heisenberg and roto-translation groups.

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