Description

Book Synopsis

The present volume contains all but two of the papers read at the conference, as well as a few papers and short notes submitted afterwards. We hope that it reflects faithfully the present state of research in the fields covered, and that it may provide an access to these fields for future investigations.



Table of Contents
*Frontmatter, pg. i*Preface, pg. v*Contents, pg. vii*Some Remarks on Kleinian Groups, pg. 1*Vanishing Properties of Theta Functions for Abelian Covers of Riemann Surfaces, pg. 7*Remarks on the Limit Point Set of a Finitely Generated Kleinian Group, pg. 19*Extremal Quasiconformal Mappings, pg. 27*Isomorphisms Between Teichmiiller Spaces, pg. 53*On the Mapping Class Group of Closed Surfaces as Covering Spaces, pg. 81*Schwarzian Derivatives and Mappings onto Jordan Domains, pg. 117*On the Moduli of Closed Riemann Surfaces with Symmetries, pg. 119*An Eigenvalue Problem for Riemann Surfaces, pg. 131*Relations Between Quadratic Differentials, pg. 141*Deformations of Embeddings of Riemann Surfaces in Projective Space, pg. 157*Lipschitz Mappings and the p-capacity of Rings in n-space, pg. 175*Spaces of Fuchsian Groups and Teichmulller Theory, pg. 195*On Fricke Moduli, pg. 205*Eichler Cohomology and the Structure of Finitely Generated Kleinian Groups, pg. 225*On the Degeneration of Riemann Surfaces, pg. 265*Singular Riemann Matrices, pg. 287*An Inequality for Kleinian Groups, pg. 295*On Klein's combination Theorem III, pg. 297*On Finsler Geometry and Applications to Teichmilller Spaces, pg. 317*Reproducing Formulas for Poincare Series of Dimension -2 and Applications, pg. 329*Period Relations on Riemann Surfaces, pg. 341*Schottky Implies Poincare, pg. 355*Teichmulller Mappings which Keep the Boundary Pointwise Fixed, pg. 365*Automorphisms and Isometries of Teichmilller Space, pg. 369*Deformations of Embedded Riemann Surfaces, pg. 385*Fock Representations and Theta-functions, pg. 393*Uniforrnizations of Infinitely Connected Domains, pg. 407*References, pg. 419

Advances in the Theory of Riemann Surfaces

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    A Paperback / softback by Lars Valerian Ahlfors, Lipman Bers

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      Publisher: Princeton University Press
      Publication Date: 21/07/1971
      ISBN13: 9780691080819, 978-0691080819
      ISBN10: 069108081X
      Also in:
      Mathematics

      Description

      Book Synopsis

      The present volume contains all but two of the papers read at the conference, as well as a few papers and short notes submitted afterwards. We hope that it reflects faithfully the present state of research in the fields covered, and that it may provide an access to these fields for future investigations.



      Table of Contents
      *Frontmatter, pg. i*Preface, pg. v*Contents, pg. vii*Some Remarks on Kleinian Groups, pg. 1*Vanishing Properties of Theta Functions for Abelian Covers of Riemann Surfaces, pg. 7*Remarks on the Limit Point Set of a Finitely Generated Kleinian Group, pg. 19*Extremal Quasiconformal Mappings, pg. 27*Isomorphisms Between Teichmiiller Spaces, pg. 53*On the Mapping Class Group of Closed Surfaces as Covering Spaces, pg. 81*Schwarzian Derivatives and Mappings onto Jordan Domains, pg. 117*On the Moduli of Closed Riemann Surfaces with Symmetries, pg. 119*An Eigenvalue Problem for Riemann Surfaces, pg. 131*Relations Between Quadratic Differentials, pg. 141*Deformations of Embeddings of Riemann Surfaces in Projective Space, pg. 157*Lipschitz Mappings and the p-capacity of Rings in n-space, pg. 175*Spaces of Fuchsian Groups and Teichmulller Theory, pg. 195*On Fricke Moduli, pg. 205*Eichler Cohomology and the Structure of Finitely Generated Kleinian Groups, pg. 225*On the Degeneration of Riemann Surfaces, pg. 265*Singular Riemann Matrices, pg. 287*An Inequality for Kleinian Groups, pg. 295*On Klein's combination Theorem III, pg. 297*On Finsler Geometry and Applications to Teichmilller Spaces, pg. 317*Reproducing Formulas for Poincare Series of Dimension -2 and Applications, pg. 329*Period Relations on Riemann Surfaces, pg. 341*Schottky Implies Poincare, pg. 355*Teichmulller Mappings which Keep the Boundary Pointwise Fixed, pg. 365*Automorphisms and Isometries of Teichmilller Space, pg. 369*Deformations of Embedded Riemann Surfaces, pg. 385*Fock Representations and Theta-functions, pg. 393*Uniforrnizations of Infinitely Connected Domains, pg. 407*References, pg. 419

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