Advances in the theory of Riemann surfaces : proceedings of the 1969 Stony Brook conference

Author(s)

• Ahlfors, Lars Valerian

Bibliographic Information

Advances in the theory of Riemann surfaces : proceedings of the 1969 Stony Brook conference

edited by Lars V. Ahlfors ...[et al.]

（Annals of mathematics studies, no. 66）

Princeton University Press , University of Tokyo Press, 1971

Note

Includes bibliographical references

Description and Table of Contents

Description

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.

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

by "Nielsen BookData"

Details

• NCID: BA6099640X
• ISBN:
  • 069108081X
• LCCN: 72121729
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Princeton, N.J.,[Tokyo]
• Pages/Volumes: viii, 420 p.
• Size: 24 cm
• Classification:
  • LCC : QA333
  • DC : 515/.223
  • NDC8 : 413.5
• Subject Headings:
  • LCSH : Riemann surfaces -- Congresses
• Parent Bibliography ID:
  • BA00300336