Ricci tensor for $GCR$-lightlike submanifolds of indefinite Kaehler manifolds

‎We obtain the expression of Ricci tensor for a $GCR$-lightlike‎ ‎submanifold of indefinite complex space form and discuss its‎ ‎properties on a totally geodesic $GCR$-lightlike submanifold of an‎ ‎indefinite complex space form‎. ‎Moreover‎, ‎we < prove > that every‎ ‎proper totally umbilical $GCR$-lightlike submanifold of an‎ ‎indefinite Kaehler manifold is a totally geodesic $GCR$-lightlike‎ ‎submanifold‎.