Nonexistence of quasiconformal maps between certain metric measure spaces

Enrico Le Donne; Katrin F\"assler; Pekka Koskela

arxiv: 1312.1305 · v1 · pith:VHWA4DFCnew · submitted 2013-12-04 · 🧮 math.MG · math.CA· math.DG

Nonexistence of quasiconformal maps between certain metric measure spaces

Katrin F\"assler , Pekka Koskela , Enrico Le Donne This is my paper

classification 🧮 math.MG math.CAmath.DG

keywords measuremetricquasiconformalspacesapplicationcertainconditionsdeduce

0 comments

read the original 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.

This paper has not been read by Pith yet.

Nonexistence of quasiconformal maps between certain metric measure spaces

discussion (0)