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AuthorKobayashi, Shoshichi. author
TitleHyperbolic Complex Spaces [electronic resource] / by Shoshichi Kobayashi
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1998
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Descript XIV, 474 p. online resource


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 Carathรฉodory 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


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

Mathematics Functions of complex variables Differential geometry Mathematics Differential Geometry Several Complex Variables and Analytic Spaces


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