The Significance of Large Isotropy Groups

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


Two facts about isotropy groups have played a central role up to now in our study of automorphism groups of bounded domains: First, that assigning to each element of the isotropy its differential at the fixed point gives an injective isomorphism onto a subgroup of the linear group of invertible linear maps of the tangent space at the point to itself (Corollary 1.3.3).


Riemann Surface Unit Ball Complex Manifold Compact Subgroup Pseudoconvex Domain 
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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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