Quasiconformal mappings on the Heisenberg group: An overview
Differential Geometry
2023-04-18 v2
Abstract
We present a brief overview of the Kor\'anyi-Reimann theory of quasiconformal mappings on the Heisenberg group stressing on the analogies as well as on the differences between the Heisenberg group case and the classical two-dimensional case. We examine the extensions of the theory to more general spaces and we state some known results and open problems.
Keywords
Cite
@article{arxiv.1510.02369,
title = {Quasiconformal mappings on the Heisenberg group: An overview},
author = {Ioannis D. Platis},
journal= {arXiv preprint arXiv:1510.02369},
year = {2023}
}
Comments
15 pages, some typos and misplacements from the previous version have been corrected. This article will appear in the Handbook of Teichm\"uller Theory, vol. VI (Athanase Papadopoulos, ed.)