Lie Groups Realized as Automorphism Groups
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).
KeywordsAutomorphism Group Smooth Manifold Isometry Group Pseudoconvex Domain Tubular Neighborhood
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