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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.17 No.2

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CR MANIFOLDS OF ARBITRARY CODIMENSION WITH A CONTRACTION

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2010, v.17 no.2, pp.157-165
Kim, Sung-Yeon
Kim,, S. (2010). CR MANIFOLDS OF ARBITRARY CODIMENSION WITH A CONTRACTION. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 17(2), 157-165.

Abstract

Let (M,p) be a germ of a <TEX>$C^{\infty}$</TEX> CR manifold of CR dimension n and CR codimension d. Suppose (M,p) admits a <TEX>$C^{\infty}$</TEX> contraction at p. In this paper, we show that (M,p) is CR equivalent to a generic submanifold in <TEX>$\mathbb{C}^{n+d}$</TEX> defined by a vector valued weighted homogeneous polynomial.

keywords
CR manifold, CR map, contraction

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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