Conformally invariant metrics and quasiconformal mappings

Conformally invariant metrics and quasiconformal mappings Parisa Hariri, Riku Klén, Matti Vuorinen.

This book is an introduction to the theory of quasiconformal and quasiregular mappings in the euclidean n-dimensional space, (where n is greater than 2). There are many ways to develop this theory as the literature shows. The authors' approach is based on the use of metrics, in particular confo...

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Bibliographic Details
Main Author: Hairi, Parisa
Other Authors: Klén, Riku, Vuorinen, Matti
Format: eBook
Language:English
Published: Cham : Springer, 2020.
Series:Springer monographs in mathematics.
Subjects:
Quasiconformal mappings.
Differential & Riemannian geometry.
Stochastics.
Mathematics > Geometry > Differential.
Mathematics > Vector Analysis.
Matemáticas > Análisis vectorial
Aplicaciones cuasi-conformes
Quasiconformal mappings
Online Access:Click for online access
Table of Contents:
  • Part I: Introduction and Review
  • Introduction
  • A Survey of QuasiregularMappings
  • Part II: Conformal Geometry
  • Möbius Transformations
  • Hyperbolic Geometry
  • Generalized Hyperbolic Geometries
  • Metrics and Geometry
  • Part III: Modulus and Capacity
  • The Modulus of a Curve Family
  • The Modulus as a Set Function
  • The Capacity of a Condenser
  • Conformal Invariants
  • Part IV: Intrinsic Geometry
  • Hyperbolic Type Metrics
  • Comparison of Metrics
  • Local Convexity of Balls
  • Inclusion Results for Balls
  • Part V: QuasiregularMappings
  • Basic Properties of QuasiregularMappings
  • Distortion Theory
  • Dimension-Free Theory
  • Metrics and Maps
  • Teichmüllers Displacement Problem
  • Part VI: Solutions
  • Solutions to Exercises.

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