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Lie Groups Realized as Automorphism Groups

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

Abstract

If \(\Omega\) is a bounded domain in a complex Euclidean space, then the group Aut \((\Omega)\) of its holomorphic automorphisms is a finite-dimensional Lie group, as already discussed (Theorems 1.3.11, 1.3.12).

Keywords

Automorphism Group Smooth Manifold Isometry Group Pseudoconvex Domain Tubular Neighborhood 
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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