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Cover: 9780198569268 | Quasiconformal Maps and Teichmüller Theory | Alastair Fletcher (u. a.)
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Quasiconformal Maps and Teichmüller Theory
Buch von A. Fletcher (u. a.)
Sprache: Englisch

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Beschreibung
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 Teichm ller theory. Assuming some familiarity with Riemann surfaces and hyperbolic geometry, topics covered include the Gr tzch argument, analytical properties of quasiconformal maps, the Beltrami differential equation, holomorphic motions and Teichm ller 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.
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 Teichm ller theory. Assuming some familiarity with Riemann surfaces and hyperbolic geometry, topics covered include the Gr tzch argument, analytical properties of quasiconformal maps, the Beltrami differential equation, holomorphic motions and Teichm ller 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.
Über den Autor
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.
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

Details
Erscheinungsjahr: 2006
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: Gebunden
ISBN-13: 9780198569268
ISBN-10: 0198569262
Sprache: Englisch
Einband: Gebunden
Autor: Fletcher, A.
Markovic, V.
Hersteller: Hurst & Co.
Maße: 234 x 155 x 15 mm
Von/Mit: A. Fletcher (u. a.)
Erscheinungsdatum: 28.12.2006
Gewicht: 0,408 kg
Artikel-ID: 120662461
Über den Autor
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.
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

Details
Erscheinungsjahr: 2006
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: Gebunden
ISBN-13: 9780198569268
ISBN-10: 0198569262
Sprache: Englisch
Einband: Gebunden
Autor: Fletcher, A.
Markovic, V.
Hersteller: Hurst & Co.
Maße: 234 x 155 x 15 mm
Von/Mit: A. Fletcher (u. a.)
Erscheinungsdatum: 28.12.2006
Gewicht: 0,408 kg
Artikel-ID: 120662461
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