Lie Groups Realized as Automorphism Groups

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


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).


Automorphism Group Smooth Manifold Isometry Group Pseudoconvex Domain Tubular Neighborhood 
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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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