DOMAINS WITH CkCR CONTRACTIONS

초록

Let Ω be a domain with smooth boundary in Cn+1 and let p∈∂Ω. Suppose that Ω is Kobayashi hyperbolic and p is of Catlin multi-type t=(t0,....tn). In this paper, we show that Ω admits a Ck contraction at p with κ≥|t|+1 if and only if Ω is biholomorphically equivalent to a domain defined by a weighted homogeneous polynomial.

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