Abstract
In this paper, we prove that every warped product pointwise pseudo-slant submanifold M-perpendicular to x f M-theta of a Sasakian manifold satisfies the following inequality for the second fundamental form h :
parallel to h parallel to(2) >= 2n(2)(cot(2)theta(cot(2) theta parallel to((del) over right arrow (perpendicular to)(ln f)parallel to(2) + csc(2) theta),
where n(2) = dim(M-theta) and (del) over right arrow (perpendicular to)(ln f) is the gradient of ln f. Furthermore, the equality case of this inequality is investigated and we provide two non-trivial examples of such submanifolds.