Teichmuller Theory and Quadratic Differentials
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Teichmuller Theory and Quadratic Differentials

Teichmuller Theory and Quadratic Differentials

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About the Book

This book lends itself as a text and reference on the theory of Teichmuller space, a topic in complex analysis, both important and central to mathematics and increasingly so to computer scientists and physicists. The book focuses on the mainstream approach to Teichmuller theory, quadratic differentials and unifies a subject which has seemed inaccessible in the past. Subjects covered in this book include Bers embedding and the complex structure it induces on Teichmuller space, the action of the modular group, the equivalence of the alternate definitions of Teichmuller space and the proof of Royden's theory. A portion of this book includes original research.

Table of Contents:
Results from Riemann Surface Theory and Quasiconformal Mapping; Minimal Norm Properties for Holomorphic Quadratic Differentials; The Reich-Strebel Inequality for Fuchsian Groups; Density Theorems for Quadratic Differentials; Teichmuller Theory; Teichmuller's Theorem; Teichmuller's and Kobayashi's Metrics; Discontinuity of the Modular Group; Holomorphic Self-Mappings of Teichmuller Space; Quadratic Differentials with Closed Trajectories; Measured Foliations; Index.


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Product Details
  • ISBN-13: 9780471845393
  • Publisher: John Wiley and Sons Ltd
  • Publisher Imprint: John Wiley & Sons Inc
  • Height: 250 mm
  • Returnable: N
  • Width: 160 mm
  • ISBN-10: 0471845396
  • Publisher Date: 11 Aug 1987
  • Binding: Hardback
  • Language: English
  • Weight: 539 gr


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