Connessioni di Cartan su varietà CR
A normal form for small CR-deformations of the standard CR-structure on the (2n+1)-sphere is presented. The space of normal forms is parameterized by a single function on the sphere. For n>1, the normal form is used to obtain explicit embeddings into . For n=1, the cohomological obstruction to embeddability is identified.
Given the notion of -structures without torsion on a real dimensional Lie algebra we study the problem of their classification when is a reductive algebra.