Characterization of $GCR$-lightlike warped product of indefinite Kenmotsu manifolds

Abstract

In this paper, we prove that there do not exist warped product$GCR$-lightlike submanifolds in the form $M =N_{\bot}\times_{\lambda}N_{\top}$ such that $N_{\bot}$ is ananti-invariant submanifold tangent to $V$ and $N_{\top}$ aninvariant submanifold of $\overline{M}$, other than $GCR$-lightlikeproduct in an indefinite Kenmotsu manifold. We also obtain somecharacterizations for a $GCR$-lightlike submanifold to be locally a$GCR$-lightlike warped product.