Abstract
In this paper, we study bi-warped product submanifolds of the form M = M-theta x (f1) M-T x (f2) M-perpendicular to in a Kenmotsu manifold. We obtain a lower bound for the squared norm of the second fundamental form of a bi-warped product submanifold such as parallel to h parallel to(2) >= m(1) csc(2)theta (1 + cos(2)theta) (parallel to(del) over right arrow (ln f(1))parallel to(2) - 1) + m(2) cot(2)theta (parallel to(del) over right arrow (ln f(2))parallel to(2) - 1), where m(1) = dim(M-T) and m(2) = dim(M-perpendicular to) and f(1), f(2) are the warping functions on M. The equality case is also considered.