Quasiconformal Mappings and their Applications(English, Hardcover, Ponnusamy S.)
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Quasiconformal Mappings and their Applications covers conformal invariance and conformally invariant metrics, hyperbolic-type metrics and hyperbolic geodesics, isometries of relative metrics, uniform spaces and Gromov hyperbolicity, quasiregular mappings and quasiconformal mappings in n-space, universal Teichmüller space and related topics, quasiminimizers and potential theory and numerical conformal mapping and circle packings. Table of Contents Preface A Note on a Minimum Area Problem for Non-Vanishing Functions The Hyperbolic Metric and Geometric Function Theory Isometries of Relative Metrics Uniform Spaces and Gromov Hyperbolicity p-Laplace Operator, Quasiregular Mappings, and Picard-Type Theorems Hyperbolic-Type Metrics Geometric Properties of Hyperbolic Geodesics Quasiminimizers and Potential Theory History and Recent Developments in Techniques for Numerical Conformal Mapping Introduction to Quasiconformal Mappings in n-space The Universal Teichmüller Space and Related Topics Metrics and Quasiregular Mappings Circle Packing, Quasiconformal Mappings, and Applications List of Participants.