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The geometry of complex domains

Author: Robert Everist Greene; Kang-Tae Kim; Steven G Krantz
Publisher: Boston : Birkhäuser, ©2011.
Series: Progress in mathematics (Boston, Mass.)
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
The geometry of complex domains is a subject with roots extending back more than a century, to the uniformization theorem of Poincaré and Koebe and the resulting proof of existence of canonical metrics for hyperbolic Riemann surfaces. In modern times, developments in several complex variables by Bergman, Hörmander, Andreotti-Vesentini, Kohn, Fefferman, and others have opened up new possibilities for the  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Greene, Robert Everist, 1943-
Geometry of complex domains.
Boston : Birkhäuser, ©2011
(DLC) 2011927939
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Robert Everist Greene; Kang-Tae Kim; Steven G Krantz
ISBN: 9780817646226 0817646221 9780817641399 0817641394
OCLC Number: 733543293
Description: 1 online resource (xiv, 303 pages).
Contents: Riemann Surfaces and Covering Spaces --
The Bergman Kernel and Metric --
Applications of Bergman Geometry --
Lie Groups Realized as Automorphism Groups --
The Significance of Large Isotropy Groups --
Some Other Invariant Metrics --
Automorphism Groups and Classification of Reinhardt Domains --
The Scaling Method, I --
The Scaling Method, II.
Series Title: Progress in mathematics (Boston, Mass.)
Responsibility: Robert E. Greene, Kang-Tae Kim, Steven G. Krantz.

Abstract:

This highly original book examines a rich tapestry of themes and concepts, including complex geometry, Finsler metrics, Bergman and Kahler geometry, curvatures, differential invariants, boundary  Read more...

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From the reviews:"The book under review gives an excellent presentation of modern problems related to various characterizations of the holomorphic geometry of domains in Cn and complex manifolds. ... Read more...

 
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