The Geometry of Complex Domains

Steven G. Krantz, Kang-Tae Kim, Robert E. Greene

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Birkhäuser Boston img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Analysis

Beschreibung

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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Schlagwörter

isometry, equivalent embeddings, curvature, automorphism, Greene-Krantz conjecture, Cauchy-Riemann equations, complex invariants, semicontinuity, complex geometry