Quasiconformal Maps and Teichmuller Theory

Erscheinungsjahr 2006
ISBN: 978-0-19-856926-8
Verlag: OUP Oxford

Buch, Englisch, 198 Seiten, Print PDF, Format (B × H): 161 mm x 240 mm, Gewicht: 467 g

Based on a series of graduate lectures given by Vladimir Markovic at the University of Warwick in spring 2003, this book is accessible to those with a grounding in complex analysis looking for an introduction to the theory of quasiconformal maps and Teichmüller theory. Assuming some familiarity with Riemann surfaces and hyperbolic geometry, topics covered include the Grötzch argument, analytical properties of quasiconformal maps, the Beltrami differential equation, holomorphic motions and Teichmüller spaces. Where proofs are omitted, references to where they may be found are always given, and the text is clearly illustrated throughout with diagrams, examples, and exercises for the reader.

Autoren/Hrsg.

Fletcher, A.

Fletcher, Alastair

Markovic, V.

Markovic, Vladimir

Fachgebiete

• Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Populärwissenschaftliche Werke
• Mathematik | Informatik Mathematik Mathematik Allgemein
• Mathematik | Informatik Mathematik Topologie Mengentheoretische Topologie
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis
• Mathematik | Informatik Mathematik Geometrie Elementare Geometrie: Allgemeines

Inhaltsverzeichnis

- Preface

- 1: The Grötzch argument

- 2: Geometric definition of quasiconformal maps

- 3: Analytic properties of quasiconformal maps

- 4: Quasi-isometries and quasisymmetric maps

- 5: The Beltrami differential equation

- 6: Holomorphic motions and applications

- 7: Teichmüller spaces

- 8: Extremal quasiconformal mappings

- 9: Unique extremality

- 10: Isomorphisms of Teichmüller space

- 11: Local rigidity of Teichmüller spaces

- References

- Index

Über Autor(innen)

Vladimir Markovic is a Professor in the Mathematics department of the University of Warwick. In 2004 he was awarded the Philip Leverhulme prize and the Whitehead prize for his work on infinite-dimensional Teichmüller spaces.; Alastair Fletcher is a final year PhD student under the supervision of Professor Markovic at the University of Warwick. His research interests lie in the field of complex analysis and Teichmüller theory.