Geometry of Metrics

Details Geometry of Metrics Geometry of Metrics

2011-01-22

arxiv.org/abs/1101.4293v2

Mathematics

Complex Variables

This informal paper is based on the author's lectures in Chennai, India, in the ICM2010 Satellite Conference International Wor

Scientific paper

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 $n$-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.

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