Component distributions of a projective space (Q1599437)

The author announces results concerning a special class of arranged three-compound distributions projective space \(P_n\), called \(S\)-distributions. The representation of \(S\)-distributions in the frame of first order is obtained. The geometrical interpretation of the holonomy of basic structural distributions of \(S\)-distributions is given. The dual image of regular \(S\)-distributions and dual projective connections associated with \(S\)-distributions are considered.