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Grundlehren der mathematischen Wissenschaften

Hyperbolic Complex Spaces

Authors: Kobayashi, Shoshichi

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About this book

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.

Reviews

"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 to include and which to omit. The author did an excellent job of selecting and treating examples that are essential for developing the reader's intuition about the subject and contented himself with citing the literature for technical examples that illustrate finer points. Although the index is quite good for locating the definitions of all the important terms, the one fault this reviewer found with the book is that because the book has so many things in it, he felt that a more comprehensive index including entries such as "complete hyperbolic implies taut, page 240" was in order. This reviewer would recommend this book to nearly anyone interested in the geometry and function theory of complex manifolds, although a beginning student may find some of the later chapters a little rough going at times."--MATHEMATICAL REVIEWS


Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook $84.99
price for USA in USD (gross)
  • ISBN 978-3-662-03582-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.99
price for USA in USD
  • ISBN 978-3-540-63534-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.99
price for USA in USD
  • ISBN 978-3-642-08339-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Hyperbolic Complex Spaces
Authors
Series Title
Grundlehren der mathematischen Wissenschaften
Series Volume
318
Copyright
1998
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-662-03582-5
DOI
10.1007/978-3-662-03582-5
Hardcover ISBN
978-3-540-63534-5
Softcover ISBN
978-3-642-08339-6
Series ISSN
0072-7830
Edition Number
1
Number of Pages
XIV, 474
Topics