The Geometry of Complex Domains

The Geometry of Complex Domains
Author :
Publisher : Springer Science & Business Media
Total Pages : 310
Release :
ISBN-10 : 9780817646226
ISBN-13 : 0817646221
Rating : 4/5 (221 Downloads)

Book Synopsis The Geometry of Complex Domains by : Robert E. Greene

Download or read book The Geometry of Complex Domains written by Robert E. Greene and published by Springer Science & Business Media. This book was released on 2011-05-18 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work examines a rich tapestry of themes and concepts and provides a comprehensive treatment of an important area of mathematics, while simultaneously covering a broader area of the geometry of domains in complex space. At once authoritative and accessible, this text touches upon many important parts of modern mathematics: complex geometry, equivalent embeddings, Bergman and Kahler geometry, curvatures, differential invariants, boundary asymptotics of geometries, group actions, and moduli spaces. The Geometry of Complex Domains can serve as a “coming of age” book for a graduate student who has completed at least one semester or more of complex analysis, and will be most welcomed by analysts and geometers engaged in current research.


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The analysis of Euclidean space is well-developed. The classical Lie groups that act naturally on Euclidean space-the rotations, dilations, and trans lations-ha