Quasiconformal mappings in the hyperbolic Heisenberg group and a lifting theorem
Differential Geometry
2019-09-27 v1
Abstract
A study of smooth contact quasiconformal mappings of the hyperbolic Heisenberg group is presented in this paper. Our main result is a Lifting Theorem; according to this, a symplectic quasiconformal mapping of the hyperbolic plane can be lifted to a circles preserving quasiconformal mapping of the hyperbolic Heisenberg group.
Keywords
Cite
@article{arxiv.1909.11955,
title = {Quasiconformal mappings in the hyperbolic Heisenberg group and a lifting theorem},
author = {Ioannis D. Platis},
journal= {arXiv preprint arXiv:1909.11955},
year = {2019}
}
Comments
29 pages