Submersion of CR-submanifolds of locally conformal Kähler manifold (Q2488603)

Let \(M\) be a CR-submanifold of a locally conformal Kähler manifold \(N\). The authors introduce the concept of submersion of \(M\) on an almost Hermitian manifold \(P\), and prove that \(P\) is a locally conformal Kähler manifold provided the Lie vector field belongs to the totally real distribution of \(M\). Also, some relations between holomorphic sectional curvatures of \(N\) and \(P\) are established, and the cohomology of \(M\) is investigated.