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

[BibTeX]

preprint

Inserted: 21 dec 2018

Year: 2013

ArXiv: 1312.1305 PDF

Abstract:

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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