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.
- ISBN13 9789812564962
- Publish Date 7 November 2005
- Publish Status Active
- Publish Country SG
- Imprint World Scientific Publishing Co Pte Ltd
- Edition Second Edition
- Format Hardcover
- Pages 160
- Language English
- URL https://worldscientific.com/worldscibooks/10.1142/5936