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AuthorKobayashi, Shoshichi. author
TitleHyperbolic Complex Spaces [electronic resource] / by Shoshichi Kobayashi
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1998
Connect tohttp://dx.doi.org/10.1007/978-3-662-03582-5
Descript XIV, 474 p. online resource

SUMMARY

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


CONTENT

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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