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

Lars Valerian Ahlfors; Lipman Bers

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

Lars Valerian Ahlfors and Lipman Bers

Language: English

Published/Copyright: 1971

Published by

View more publications by Princeton University Press

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This book is in the series

Volume 66 | Annals of Mathematics Studies

About this book

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.

Topics

Mathematics General Mathematics

Frontmatter Publicly Available Download PDF	i
Preface Requires Authentication Unlicensed Licensed Download PDF	v
Contents Publicly Available Download PDF	vii
Some Remarks on Kleinian Groups Willaim Abikoff Requires Authentication Unlicensed Licensed Download PDF	1
Vanishing Properties of Theta Functions for Abelian Covers of Riemann Surfaces Robert D. M. Accola Requires Authentication Unlicensed Licensed Download PDF	7
Remarks on the Limit Point Set of a Finitely Generated Kleinian Group Lars V. Ahlfors Requires Authentication Unlicensed Licensed Download PDF	19
Extremal Quasiconformal Mappings Lipman Bers Requires Authentication Unlicensed Licensed Download PDF	27
Isomorphisms Between Teichmiiller Spaces Lipman Bers and Leon Greenberg Requires Authentication Unlicensed Licensed Download PDF	53
On the Mapping Class Group of Closed Surfaces as Covering Spaces Joan S. Birman and Hugh M. Hilden Requires Authentication Unlicensed Licensed Download PDF	81
Schwarzian Derivatives and Mappings onto Jordan Domains Peter L. Duren Requires Authentication Unlicensed Licensed Download PDF	117
On the Moduli of Closed Riemann Surfaces with Symmetries Clifford J. Earle Requires Authentication Unlicensed Licensed Download PDF	119
An Eigenvalue Problem for Riemann Surfaces Leon Ehrenpreis Requires Authentication Unlicensed Licensed Download PDF	131
Relations Between Quadratic Differentials Hershel M. Farkas Requires Authentication Unlicensed Licensed Download PDF	141
Deformations of Embeddings of Riemann Surfaces in Projective Space Frederick Gardiner Requires Authentication Unlicensed Licensed Download PDF	157
Lipschitz Mappings and the p-capacity of Rings in n-space F. W. Gehring Requires Authentication Unlicensed Licensed Download PDF	175
Spaces of Fuchsian Groups and Teichmülller Theory W. J. Harvey Requires Authentication Unlicensed Licensed Download PDF	195
On Fricke Moduli Linda Keen Requires Authentication Unlicensed Licensed Download PDF	205
Eichler Cohomology and the Structure of Finitely Generated Kleinian Groups Irwin Kra Requires Authentication Unlicensed Licensed Download PDF	225
On the Degeneration of Riemann Surfaces Aaron Lebowitz Requires Authentication Unlicensed Licensed Download PDF	265
Singular Riemann Matrices Joseph Lewittes Requires Authentication Unlicensed Licensed Download PDF	287
An Inequality for Kleinian Groups Albert Marden Requires Authentication Unlicensed Licensed Download PDF	295
On Klein's combination Theorem III Bernard Maskit Requires Authentication Unlicensed Licensed Download PDF	297
On Finsler Geometry and Applications to Teichmilller Spaces Brian O'Byrne Requires Authentication Unlicensed Licensed Download PDF	317
Reproducing Formulas for Poincaré Series of Dimension -2 and Applications K. V. Rajeswara Rao Requires Authentication Unlicensed Licensed Download PDF	329
Period Relations on Riemann Surfaces Harry E. Rauch Requires Authentication Unlicensed Licensed Download PDF	341
Schottky Implies Poincaré Harry E. Rauch Requires Authentication Unlicensed Licensed Download PDF	355
Teichmülller Mappings which Keep the Boundary Pointwise Fixed Edgar Reich and Kurt Strebel Requires Authentication Unlicensed Licensed Download PDF	365
Automorphisms and Isometries of Teichmilller Space H. L. Royden Requires Authentication Unlicensed Licensed Download PDF	369
Deformations of Embedded Riemann Surfaces Reto A. Rüedy Requires Authentication Unlicensed Licensed Download PDF	385
Fock Representations and Theta-functions Ichiro Satake Requires Authentication Unlicensed Licensed Download PDF	393
Uniforrnizations of Infinitely Connected Domains R. J. Sibner Requires Authentication Unlicensed Licensed Download PDF	407
References Requires Authentication Unlicensed Licensed Download PDF	419

Publishing information

Pages and Images/Illustrations in book

eBook published on:

July 1, 1971

eBook ISBN:

9781400822492

Pages and Images/Illustrations in book

Main content:

430

https://doi.org/10.1515/9781400822492

eBook ISBN: 9781400822492

Keywords for this book

Theorem; Riemann surface; Fuchsian group; Riemann mapping theorem; Quadratic differential; Automorphism; Riemann zeta function; Homeomorphism; Quotient space (linear algebra); Riemann sphere; Kleinian group; Sign (mathematics); Teichmüller space; Intersection (set theory); Mathematical induction; Function (mathematics); Poisson summation formula; Degeneracy (mathematics); Diagram (category theory); Analytic function; Limit set; Automorphic form; Explicit formulae (L-function); Beltrami equation; Isomorphism theorem; Scalar multiplication; Eigenvalues and eigenvectors; Parity (mathematics); Variable (mathematics); Metric space; Subgroup; Quotient space (topology); Dimension (vector space); Eigenfunction; Clifford's theorem; Hilbert space; Commutative property; Meromorphic function; Homology (mathematics); Algebraic function field; Square-integrable function; Osgood curve; Eisenstein series; Pole (complex analysis); Möbius transformation; Isomorphism class; Homotopy; Group (mathematics); Complex multiplication; Isometry; Number theory; Linear map; Bernhard Riemann; Matrix (mathematics); Limit point; Differential geometry of surfaces; Measure (mathematics); Topological space; Selberg trace formula; Infimum and supremum; Intersection number (graph theory); Inner automorphism; Commutative diagram; Fourier series; Existential quantification; Modular group; Identity matrix; Hyperbolic geometry; Holomorphic function; Uniformization

Audience(s) for this book

College/higher education;Professional and scholarly;

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

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