CR MANIFOLDS OF ARBITRARY CODIMENSION WITH A CONTRACTION

초록

Let (M; p) be a germ of a C∞ CR manifold of CR dimension n and CR codimension d. Suppose (M; p) admits a C∞ contraction at p. In this paper, we show that (M; p) is CR equivalent to a generic submanifold in Cn+d defined by a vector valued weighted homogeneous polynomial.

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