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In conformal differential geometry, a conformal connection is a Cartan connection on an n-dimensional manifold M arising as a deformation of the Klein geometry given by the celestial n-sphere, viewed as the homogeneous space O+(n+1,1)/P where P is the stabilizer of a fixed null line through the origin in Rn+2, in the orthochronous Lorentz group O+(n+1,1) in n+2 dimensions.

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  • Conformal connection
  • 共形接続
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  • In conformal differential geometry, a conformal connection is a Cartan connection on an n-dimensional manifold M arising as a deformation of the Klein geometry given by the celestial n-sphere, viewed as the homogeneous space O+(n+1,1)/P where P is the stabilizer of a fixed null line through the origin in Rn+2, in the orthochronous Lorentz group O+(n+1,1) in n+2 dimensions.
  • 数学の微分幾何学の分野における共形接続(きょうけいせつぞく、英: conformal connection)とは、等質空間 O+(n+1,1)/P と見なされるn次天球により与えられるの変形により生じる、n次元多様体 M 上のあるのことである。ここで P は、n+2 次元の順次的ローレンツ群における、Rn+2 の原点を通る固定された null line の安定化部分群とする。を備える多様体はどのようなものであっても、標準カルタン接続と呼ばれる正規共形接続を持つ。
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  • Ü. Lumiste
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  • Conformal_connection&oldid=13223
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  • Conformal connection
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  • In conformal differential geometry, a conformal connection is a Cartan connection on an n-dimensional manifold M arising as a deformation of the Klein geometry given by the celestial n-sphere, viewed as the homogeneous space O+(n+1,1)/P where P is the stabilizer of a fixed null line through the origin in Rn+2, in the orthochronous Lorentz group O+(n+1,1) in n+2 dimensions.
  • 数学の微分幾何学の分野における共形接続(きょうけいせつぞく、英: conformal connection)とは、等質空間 O+(n+1,1)/P と見なされるn次天球により与えられるの変形により生じる、n次元多様体 M 上のあるのことである。ここで P は、n+2 次元の順次的ローレンツ群における、Rn+2 の原点を通る固定された null line の安定化部分群とする。を備える多様体はどのようなものであっても、標準カルタン接続と呼ばれる正規共形接続を持つ。
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