Almost contact structures of the manifolds \(P^0_n (\mathcal H)\) (Q1397507)

The basic set-up for this paper is a so-called three-component distribution of the projective space \(P_n\), as discussed by the same author in previous work. This gives rise to a certain subbundle of the manifold \(P^0_n\), denoted by \(P^0_n({\mathcal H})\). A number of quite technical results are derived which cannot be summarized in an accurate way. But essentially, the paper is about the construction of almost contact structures on the basic structure subbundles of \(P^0_n({\mathcal H})\), each of which is actually shown to carry three one-parameter families of such structures. The main results concern a geometric interpretation of these almost contact structures.