Higher degree obstructions to quasiconformal equivalence
Metric Geometry
2026-07-13 v1
Abstract
Pairs of diffeomorphic Riemannian manifolds are shown not to be quasiconformally equivalent, while no degree one invariant (extremal lengths, conformal parabolicity,...) can distinguish them. The obstruction arises from conformal cohomology in degree 2. Similar examples are constructed in the contact subRiemannian category
Cite
@article{arxiv.2607.11331,
title = {Higher degree obstructions to quasiconformal equivalence},
author = {Pierre Pansu and Francesca Tripaldi},
journal= {arXiv preprint arXiv:2607.11331},
year = {2026}
}