Geometry of Metrics
Complex Variables
2011-04-26 v2
Abstract
During the past thirty years hyperbolic type metrics have become popular tools also in modern mapping theory, e.g., in the study of quasiconformal and quasiregular maps in the euclidean -space. We study here several metrics that one way or another are related to modern mapping theory and point out many open problems dealing with the geometry of such metrics.
Cite
@article{arxiv.1101.4293,
title = {Geometry of Metrics},
author = {Matti Vuorinen},
journal= {arXiv preprint arXiv:1101.4293},
year = {2011}
}
Comments
This informal paper is based on the author's lectures in Chennai, India, in the ICM2010 Satellite Conference International Workshop on Harmonic and Quasiconformal Mappings (HQM2010) in August 2010