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Advances in the theory of Riemann surfaces : proceedings of the 1969 Stony Brook conference / edited by Lars V. Ahlfors [and others].

Contributor(s): Material type: TextTextSeries: Annals of mathematics studies ; no. 66.Publisher: Princeton, N.J. : Princeton University Press, 1971Description: 1 online resource (viii, 420 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781400822492
  • 1400822491
Subject(s): Genre/Form: Additional physical formats: Print version:: Advances in the theory of Riemann surfacesDDC classification:
  • 515/.223 22
LOC classification:
  • QA333 .A35 1971eb
Other classification:
  • 31.42
  • SI 830
  • SK 750
Online resources:
Contents:
Cover; Title; Copyright; PREFACE; CONTENTS; Some Remarks On Kleinian Groups; Vanishing Properties of Theta Functions for Abelian Covers of Riemann Surfaces; Remarks on the Limit Point Set of a Finitely Generated Kleinian Group; Extremal Quasiconformal Mappings; Isomorphisms Between Teichmüller Spaces; On the Mapping Class Group of Closed Surfaces as Covering Spaces; Schwarzian Derivatives and Mappings onto Jordan Domains; On the Moduli of Closed Riemann Surfaces with Symmetries; An Eigenvalue Problem for Riemann Surfaces; Relations Between Quadratic Differentials.
Deformations of Embeddings of Riemann Surfaces in Projective SpaceLipschitz Mappings and the p-capacity of Rings in n-space; Spaces of Fuchsian Groups and Teichmüller Theory; On Fricke Moduli; Eichler Cohomology and the Structure of Finitely Generated Kleinian Groups; On the Degeneration of Riemann Surfaces; Singular Riemann Matrices; An Inequality for Kleinian Groups; On Klein's combination Theorem III; On Finsler Geometry and Applications to Teichmüller Spaces; Reproducing Formulas for Poincaré Series of Dimension -2 and Applications; Period Relations on Riemann Surfaces.
Schottky Implies PoincaréTeichmüller Mappings which Keep the Boundary Pointwise Fixed; Automorphisms and Isometries of Teichmüller Space; Deformations of Embedded Riemann Surfaces; Fock Representations and Theta-functions; Uniformizations of Infinitely Connected Domains.
Summary: Intended for researchers in Riemann surfaces, this volume summarizes a significant portion of the work done in the field during the years 1966 to 1971.
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Includes bibliographical references.

Proceedings of the 2d of a series of meetings; proceedings of the 3d are entered under Conference on Discontinuous Groups and Riemann Surfaces, University of Maryland, 1973.

Print version record.

Cover; Title; Copyright; PREFACE; CONTENTS; Some Remarks On Kleinian Groups; Vanishing Properties of Theta Functions for Abelian Covers of Riemann Surfaces; Remarks on the Limit Point Set of a Finitely Generated Kleinian Group; Extremal Quasiconformal Mappings; Isomorphisms Between Teichmüller Spaces; On the Mapping Class Group of Closed Surfaces as Covering Spaces; Schwarzian Derivatives and Mappings onto Jordan Domains; On the Moduli of Closed Riemann Surfaces with Symmetries; An Eigenvalue Problem for Riemann Surfaces; Relations Between Quadratic Differentials.

Deformations of Embeddings of Riemann Surfaces in Projective SpaceLipschitz Mappings and the p-capacity of Rings in n-space; Spaces of Fuchsian Groups and Teichmüller Theory; On Fricke Moduli; Eichler Cohomology and the Structure of Finitely Generated Kleinian Groups; On the Degeneration of Riemann Surfaces; Singular Riemann Matrices; An Inequality for Kleinian Groups; On Klein's combination Theorem III; On Finsler Geometry and Applications to Teichmüller Spaces; Reproducing Formulas for Poincaré Series of Dimension -2 and Applications; Period Relations on Riemann Surfaces.

Schottky Implies PoincaréTeichmüller Mappings which Keep the Boundary Pointwise Fixed; Automorphisms and Isometries of Teichmüller Space; Deformations of Embedded Riemann Surfaces; Fock Representations and Theta-functions; Uniformizations of Infinitely Connected Domains.

Intended for researchers in Riemann surfaces, this volume summarizes a significant portion of the work done in the field during the years 1966 to 1971.

English.

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