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 and “invariant metrics and pseudo-distances and ” and and “hyperbolic complex manifolds and ” within the section and “holomorphic mappings and “. The invariant distance introduced in the first edition is now called the and “Kobayashi distance and “, and the hyperbolicity in the sense of this book is called the and “Kobayashi hyperbolicity and ” 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.

HYPERBOLIC MANIFOLDS AND HOLOMORPHIC MAPPINGS: AN INTRODUCTION (SECOND EDITION) PDF

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