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.

Lars Valerian Ahlfors & Lipman Bers

• Frontmatter,
• 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,