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

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.

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.

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