한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)

  • 제17권2호
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  • Pages.157-165
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  • 2010
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  • 1226-0657(pISSN)
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  • 2287-6081(eISSN)
한국수학교육학회 (Korean Society of Mathematical Education)
권호 표지

CR MANIFOLDS OF ARBITRARY CODIMENSION WITH A CONTRACTION

  • Kim, Sung-Yeon (DEPARTMENT OF MATHEMATICS EDUCATION, KANGWON NATIONAL UNIVERSITY)
  • 투고 : 2009.10.16
  • 심사 : 2010.05.12
  • 발행 : 2010.05.31
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초록

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

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참고문헌

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