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CR geometry and Cartan geometry. (English) Zbl 0817.53013
The present paper starts with the definition and study of the pre-Cartan structure modeled after a homogeneous space $$G/H$$. Then the general procedure of constructing frame principal bundles and consistent Cartan connections starting from a pre-Cartan structure is described. Riemann geometry, conformal geometry and CR geometry of non-degenerate Levi form are treated as pre-Cartan structures. The normal Cartan connections are constructed. The curvature of CR-geometry in terms of the defining equation of the structure is given here.
Reviewer: C.-L.Bejan (Iaşi)

##### MSC:
 53B99 Local differential geometry 32V05 CR structures, CR operators, and generalizations 53C05 Connections (general theory)
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