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In mathematics, a CR manifold is a differentiable manifold together with a geometric structure modeled on that of a real hypersurface in a complex vector space, or more generally modeled on an edge of a wedge. Formally, a CR manifold is a differentiable manifold M together with a preferred complex distribution L, or in other words a complex subbundle of the complexified tangent bundle such that * (L is formally integrable) * . The subbundle L is called a CR structure on the manifold M. The abbreviation CR stands for Cauchy–Riemann or Complex-Real.

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  • CR manifold
  • CR多様体
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  • In mathematics, a CR manifold is a differentiable manifold together with a geometric structure modeled on that of a real hypersurface in a complex vector space, or more generally modeled on an edge of a wedge. Formally, a CR manifold is a differentiable manifold M together with a preferred complex distribution L, or in other words a complex subbundle of the complexified tangent bundle such that * (L is formally integrable) * . The subbundle L is called a CR structure on the manifold M. The abbreviation CR stands for Cauchy–Riemann or Complex-Real.
  • 数学において、CR多様体(CRたようたい、英: CR manifold)とは,微分可能多様体で,複素数空間の中の実超曲面の幾何構造をモデル化したものである. CR は,コーシー・リーマン,あるいは,複素 (Complex)・実 (Real)の省略形である.
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