Advances in the Theory of Riemann Surfaces

*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