Hyperbolic Manifolds And Holomorphic Mappings: An Introduction
Author:   Shoshichi Kobayashi (Univ Of California, Berkeley, Usa)
Publisher:   World Scientific Publishing Co Pte Ltd
Edition:   Second Edition
ISBN:  

9789812565891


Pages:   160
Publication Date:   07 November 2005
Format:   Paperback
Availability:   Awaiting stock   Availability explained
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Hyperbolic Manifolds And Holomorphic Mappings: An Introduction


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Overview

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.

Full Product Details

Author:   Shoshichi Kobayashi (Univ Of California, Berkeley, Usa)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Edition:   Second Edition
Dimensions:   Width: 15.60cm , Height: 1.00cm , Length: 22.60cm
Weight:   0.290kg
ISBN:  

9789812565891


ISBN 10:   9812565892
Pages:   160
Publication Date:   07 November 2005
Audience:   College/higher education ,  Tertiary & Higher Education
Format:   Paperback
Publisher's Status:   Active
Availability:   Awaiting stock   Availability explained
The supplier is currently out of stock of this item. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out for you.

Table of Contents

* The Schwarz Lemma and Its Generalizations * Volume Elements and the Schwarz Lemma * Distance and the Schwarz Lemma * Invariant Distances on Complex Manifolds * Holomorphic Mappings into Hyperbolic Manifolds * The Big Picard Theorem and Extension of Holomorphic Mappings * Generalization to Complex Spaces * Hyperbolic Manifolds and Minimal Models

Reviews

This book continues to serve as a fine introduction to hyperbolic complex analysis at a very elementary level. Zentralblatt MATH A student with some background in complex differential geometry will find this to be an accessible, yet comprehensive, introduction to the subject. Mathematical Reviews


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