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The Scaling Method, II

  • Robert E. Greene
  • Kang-Tae Kim
  • Steven G. Krantz
Chapter
Part of the Progress in Mathematics book series (PM, volume 291)

Abstract

In the preceding chapter, we discussed theorems concerning the characterization of bounded domains in \(\mathbb{C}{^n}\) by their boundary geometry and the noncompactness of their automorphism groups. There, the scaling method served as a medium that produces the “best” holomorphic re-embedding of the domain into \(\mathbb{C}{^n}\). Thus the scaling method replaced the role of the study of asymptotic boundary behavior of holomorphic invariants.

Keywords

Open Neighborhood Pseudoconvex Domain Bergman Kernel Holomorphic Sectional Curvature Bergman Kernel Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  • Robert E. Greene
    • 1
  • Kang-Tae Kim
    • 2
  • Steven G. Krantz
    • 3
  1. 1.Department of MathematicsUniversity of CaliforniaLos AngelesUSA
  2. 2.Department of MathematicsPohang Institute of Science and TechnologyPohangSouth Korea
  3. 3.Department of MathematicsWashington UniversitySt. LouisUSA

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