A characterization of domains in $\mathbf C^2$ with noncompact automorphism group

Details A characterization of domains in $\mathbf C^2$ with noncompact automorphism group A characterization of domains in $\mathbf C^2$ with noncompact automorphism group

2008-04-17

arxiv.org/abs/0804.2766v1

Mathematics

Complex Variables

38 pages

Scientific paper

Let $D$ be a bounded domain in $\mathbf C^2$ with a non-compact group of
holomorphic automorphisms. Model domains for $D$ are obtained under the
hypothesis that at least one orbit accumulates at a boundary point near which
the boundary is smooth, real analytic and of finite type.

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