Intrinsic connections for Levi metrics (Q1197373)

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scientific article; zbMATH DE number 91468
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Intrinsic connections for Levi metrics
scientific article; zbMATH DE number 91468

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    Intrinsic connections for Levi metrics (English)
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    16 January 1993
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    It is supposed that a CR manifold carries a metric which, on the maximal complex subspace of the tangent space, agrees with a choice of a Levi form. By using Cartan's moving frame method the local equivalence problem is solved. Then this solution is interpreted as a connection in a principal bundle. Finally, there are obtained the curvature and torsion for this connection and there are derived identities for the curvature.
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    CR manifold
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    Levi form
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    Cartan's moving frame
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