Bibliographic Information

Hyperbolic complex spaces

Shoshichi Kobayashi

(Die Grundlehren der mathematischen Wissenschaften, 318)

Springer, c1998

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Note

Includes references (p. [429]-468) and index

Description and Table of Contents

Description

In the three decades since the introduction of the Kobayashi distance, the subject of hyperbolic complex spaces and holomorphic mappings has grown to be a big industry. This book gives a comprehensive and systematic account on the Caratheodory and Kobayashi distances, hyperbolic complex spaces and holomorphic mappings with geometric methods. A very complete list of references should be useful for prospective researchers in this area.

Table of Contents

1. Distance Geometry.- 2. Schwarz Lemma and Negative Curvature.- 3. Intrinsic Distances.- 4. Intrinsic Distances for Domains.- 5. Holomorphic Maps into Hyperbolic Spaces.- 6. Extension and Finiteness Theorems.- 7. Manifolds of General Type.- 8. Value Distributions.- References.

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