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Complete localization of domains with noncompact automorphism group

By Kang-tae Kim


ABSTRACT. We prove a characterization of the domains in en with an automorphism orbit accumulating at a boundary point at which the boundary is real analytic and convex up to a biholomorphic change of local coordinates. This result generalizes the well-known Wong-Rosay theorem on strongly pseudoconvex domains to the case of locally convex domains with real analytic boundaries. 1

Year: 1990
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