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⊥×λNT such that N⊥ is an anti-invariant submanifold tangent to V and NT 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.