The Significance of Large Isotropy Groups
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).
KeywordsRiemann Surface Unit Ball Complex Manifold Compact Subgroup Pseudoconvex Domain
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