On Doubly product CR-submanifolds in a locally conformal Kaehler manifold

In this report, we recall doubly
warped product manifolds and their fundamental properties which are obtained in the last report [K. Matsumoto, Doubly warped product manifolds and submanifolds]. Then we consider doubly warped product CR-submanifolds in a locally conformal Kaehler manifold (an l.c. K.-manifold) which are generalization of doubly warped product CR-submanifolds in an l.c.K.-manifold.