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The Bergman Kernel and Metric

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

Abstract

The subject of this chapter is a remarkable construction developed by Stefan Bergman that produces an explicit, smooth, automorphism-invariant Hermitian metric on each bounded domain in \(\mathbb{C}{^n}\).

Keywords

Holomorphic Function Unit Ball Sectional Curvature Complex Manifold Bergman Space 
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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