Advances in the Theory of Riemann Surfaces. (AM-66), Volume 66

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. 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 Teichmiiller 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 Space Lipschitz Mappings and the p-capacity of Rings in n-space Spaces of Fuchsian Groups and Teichmülller 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 Teichmilller Spaces Reproducing Formulas for Poincaré Series of Dimension -2 and Applications Period Relations on Riemann Surfaces Schottky Implies Poincaré Teichmülller Mappings which Keep the Boundary Pointwise Fixed Automorphisms and Isometries of Teichmilller Space Deformations of Embedded Riemann Surfaces Fock Representations and Theta-functions Uniforrnizations of Infinitely Connected Domains References