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Hyperbolic Complex Spaces

Author: Shoshichi Kobayashi
Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1998.
Series: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 318.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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 Carathéodory and Kobayashi distances, hyperbolic complex spaces and holomorphic mappings with geometric methods. A very complete list of references should be useful for prospective  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Shoshichi Kobayashi
ISBN: 9783662035825 3662035820
OCLC Number: 851385370
Description: 1 online resource (xiii, 474 pages).
Contents: Introduction --
Distance Geometry --
Schwarz Lemma and Negative Curvature --
Intrinsic Distances --
Intrinsic Distances for Domains --
Holomorphic Maps into Hyperbolic Spaces --
Extension and Finiteness Theorems --
Manifolds of General Type --
Value Distributions --
References --
Index --
Logarithmic Geometry.
Series Title: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 318.
Responsibility: by Shoshichi Kobayashi.

Abstract:

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  Read more...

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"The author's book is exceptionally well organized, with an impressive collection of references to the literature. A particular strength of the book is the author's taste in choosing which examples Read more...

 
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