Weak para-CR structures on vertical bundles (Q2360816)

In this paper, many notions appear with their definitions and there are three main results. The first one gives the relationship between weak para-CRV manifolds and paracomplex CR-structures. The second one reveals a property of a strongly vertical regular hypersurface of a weak para-Hermitian-CRV manifold. The third one gives the necessary and sufficient conditions for the invariant distribution \(D\) and anti-invariant distributions \(D^{\perp}\) to be integrable.