Triangular ratio metric under quasiconformal mappings in sector domains
Metric Geometry
2023-03-16 v2
Abstract
Hyperbolic metric and different hyperbolic type metrics are studied in open sector domains of the complex plane. Several sharp inequalities are proven for them. Our main result describes the behavior of the triangular ratio metric under quasiconformal maps from one sector onto another one.
Keywords
Cite
@article{arxiv.2005.11990,
title = {Triangular ratio metric under quasiconformal mappings in sector domains},
author = {Oona Rainio and Matti Vuorinen},
journal= {arXiv preprint arXiv:2005.11990},
year = {2023}
}
Comments
14 pages, 1 figure