Hyperbolic Manifolds and Holomorphic Mappings
eBook - PDF

Hyperbolic Manifolds and Holomorphic Mappings

An Introduction

  1. 160 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Hyperbolic Manifolds and Holomorphic Mappings

An Introduction

About this book

The first edition of this influential book, published in 1970, opened up a completely new field of invariant metrics and hyperbolic manifolds. The large number of papers on the topics covered by the book written since its appearance led Mathematical Reviews to create two new subsections “invariant metrics and pseudo-distances” and “hyperbolic complex manifolds” within the section “holomorphic mappings”. The invariant distance introduced in the first edition is now called the “Kobayashi distance”, and the hyperbolicity in the sense of this book is called the “Kobayashi hyperbolicity” to distinguish it from other hyperbolicities. This book continues to serve as the best introduction to hyperbolic complex analysis and geometry and is easily accessible to students since very little is assumed. The new edition adds comments on the most recent developments in the field.

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Yes, you can access Hyperbolic Manifolds and Holomorphic Mappings by Shoshichi Kobayashi in PDF and/or ePUB format, as well as other popular books in Mathematics & Analytic Geometry. We have over one million books available in our catalogue for you to explore.

Information

Publisher
WSPC
Year
2005
eBook ISBN
9789813101937
Edition
2

Table of contents

  1. CONTENTS
  2. Preface to the New Edition
  3. Preface
  4. Chapter I The Schwarz Lemma and Its Generalizations
  5. Chapter II Volume Elements and the Schwarz Lemma
  6. Chapter III Distance and the Schwarz Lemma
  7. Chapter IV Invariant Distances on Complex Manifolds
  8. Chapter V Holomorphic Mappings into Hyperbolic Manifolds
  9. Chapter VI The Big Picard Theorem and Extension of Holomorphic Mappings
  10. Chapter VII Generalization to Complex Spaces
  11. Chapter VIII Hyperbolic Manifolds and Minimal Models
  12. Chapter IX Miscellany
  13. Postscript
  14. Bibliography
  15. Summary of Notations
  16. Author Index
  17. Subject Index