Hyperbolic Manifolds and Holomorphic Mappings: An Introduction (Second Edition) (Paperback)

Hyperbolic Manifolds and Holomorphic Mappings: An Introduction (Second Edition) By Shoshichi Kobayashi Cover Image
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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.

Product Details
ISBN: 9789812565891
ISBN-10: 9812565892
Publisher: World Scientific Publishing Company
Publication Date: November 7th, 2005
Pages: 160
Language: English