Description

Book Synopsis

- Introduction.- The Riemann Mapping Theorem.- The Ahlfors Map.- A Riemann Mapping Theorem for Two-Connected Domains in the Plane.- Riemann Multiply Connected Domains.- Quasiconformal Mappings.- Manifolds.- Riemann Surfaces.- The Uniformization Theorem.- Automorphism Groups.- Ridigity of Holomorphic Mappings and a New Schwarz Lemma at the Boundary.- The Schwarz Lemma and Its Generalizations.- Invariant Distances on Complex Manifolds.- Hyperbolic Manifolds.- The Fatou Theory and Related Matters.- The Theorem of Bun Wong and Rosay.- Smoothness to the Boundary of Biholomorphic Mappings.- Solution ? problem.- Harmonic measure.- Quadrature.- Teichmüller Theory.- Bibliography.- Index.

The Geometric Theory of Complex Variables

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    A Hardback by Peter V. Dovbush

    15 in stock


      View other formats and editions of The Geometric Theory of Complex Variables by Peter V. Dovbush

      Publisher: Springer
      Publication Date: 17/03/2025
      ISBN13: 9783031772030, 978-3031772030
      ISBN10:
      Also in:
      Mathematics Calculus and mathematical analysis

      Description

      Book Synopsis

      - Introduction.- The Riemann Mapping Theorem.- The Ahlfors Map.- A Riemann Mapping Theorem for Two-Connected Domains in the Plane.- Riemann Multiply Connected Domains.- Quasiconformal Mappings.- Manifolds.- Riemann Surfaces.- The Uniformization Theorem.- Automorphism Groups.- Ridigity of Holomorphic Mappings and a New Schwarz Lemma at the Boundary.- The Schwarz Lemma and Its Generalizations.- Invariant Distances on Complex Manifolds.- Hyperbolic Manifolds.- The Fatou Theory and Related Matters.- The Theorem of Bun Wong and Rosay.- Smoothness to the Boundary of Biholomorphic Mappings.- Solution ? problem.- Harmonic measure.- Quadrature.- Teichmüller Theory.- Bibliography.- Index.

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