Characterization of GCR-lightlike warped product of indefinite Sasakian manifolds

Abstract In this paper we prove that there do not exist warped product GCR -lightlike submanifolds in the form M  =  N ⊥  ×  λ N T such that N ⊥ is an anti-invariant submanifold tangent to V and N T an invariant submanifold of M ‾ , other than GCR -lightlike product in an indefinite Sasakian manifold. We also obtain characterization theorems for a GCR -lightlike submanifold to be locally a GCR -lightlike warped product.