Pointwise bi-slant lightlike submanifolds and their warped products

Abstract

We introduce the general notion of pointwise bi-slant lightlike submanifolds of indefinite almost Hermitian manifolds. At first, we give a characterization theorem for the existence of pointwise bi-slant lightlike submanifolds and present one non-trivial example for this class of submanifolds. Further, the conditions of the integrability are derived for the distributions associated with such submanifolds. Finally, we investigate the existence of warped product pointwise bi-slant lightlike submanifolds of indefinite Kaehler manifolds.