On quasiconformal equivalence of Schottky regions
Complex Variables
2023-06-21 v2
Abstract
In a recent paper, H. Shiga proved that the regions of discontinuity of any two Schottky groups of ranks at least two are quasiconformally equivalent. In this paper, we provide an alternative proof of such a fact. Our approach permits us to discuss quasiconformality equivalence of regions of discontinuity of Schottky type groups in terms of their signatures.
Keywords
Cite
@article{arxiv.2306.06469,
title = {On quasiconformal equivalence of Schottky regions},
author = {Ruben A. Hidalgo},
journal= {arXiv preprint arXiv:2306.06469},
year = {2023}
}
Comments
Section with the constructions have been reorganized. Proof of the main resulkt has been dited and corrected