Smooth hypersurfaces with a CR contraction |
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Authors: | Sung-Yeon Kim |
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Institution: | Department of Mathematics Education, Kangwon National University, 123 Hyoja-dong, Chuncheon, Kangwon-do, 200-701, Republic of Korea |
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Abstract: | In this paper we show that a C∞ real hypersurface in Cn+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 Cn+1 with C∞ boundary of finite D'Angelo type with a hyperbolic orbit accumulation point is biholomorphically equivalent to a domain defined by a weighted homogeneous polynomial. |
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Keywords: | Noncompact automorphism group CR contraction |
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