Hyperbolic complex space

Author(s)

    • Kobayashi, Shoshichi

Bibliographic Information

Hyperbolic complex space

by Shoshichi Kobayashi

(Die Grundlehren der mathematischen Wissenschaften, 318)

Springer, c1998

  • pbk.

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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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