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Geometry of Metrics

2011/01/22 by Матти Вуоринен, Vuorinen, Matti
Mathematics · #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1101.4293

openalex publication_date 2011/01/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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 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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