Smooth hypersurfaces with a CR contraction

초록

In this paper we show that a C(infinity) real hypersurface in C(n+1) of finite D'Angelo type admitting a weakly contracting local CR automorphism is CR equivalent to a weighted homogeneous hypersurface. As an application. we show that a bounded pseudoconvex domain in C(n+1) with C(infinity) boundary of finite D'Angelo type with a hyperbolic orbit accumulation point is biholomorphically equivalent to a domain defined by a weighted homogeneous polynomial. (C) 2010 Elsevier Inc. All rights reserved.

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