Teichmüller theory and quadratic differentials
著者
書誌事項
Teichmüller theory and quadratic differentials
（Pure and applied mathematics）
John Wiley & Sons, c1987
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注記
"A Wiley-Interscience publication"
Bibliography: p. 225-231
Includes index
内容説明・目次
内容説明
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.
目次
- 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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