Hyperbolic Complex Spaces

1998
ISBN: 978-3-540-63534-5
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 318, 474 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1900 g

Reihe: Grundlehren der mathematischen Wissenschaften

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 Carathéodory 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.

Zielgruppe

Research

Autoren/Hrsg.

Kobayashi, Shoshichi

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis
• Mathematik | Informatik Mathematik Topologie Analytische Topologie

Inhaltsverzeichnis

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.