A characterization of domains in \mathbf C² with noncompact automorphism group

2008/04/17 by Kaushal Verma, Verma, Kaushal
Mathematics · #32M05 #Complex Variables (math.CV) #FOS: Mathematics #math.CV #msc:32M05

paper · pdf · doi:10.48550/arxiv.0804.2766

38 pages

arxiv created 2008/04/17 · arxiv updated 2009/12/01

Abstract

Let D be a bounded domain in \mathbf C² 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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