Abstract
In this paper, we prove that every bi-warped product submanifold N-| x f(1) N-T x f(2) N theta in a Kenmotsu manifold (M) over tilde satisfies a general inequality: parallel to sigma 2 parallel to >= m(2) (parallel to(del) over right arrow (ln f(1))parallel to(2) - 1) + m(3)cos(2)theta(parallel to(del) over right arrow (ln f(2)), where m(2) = dim(N-T) and m(3) = dim(N-theta) and sigma is the second fundamental form and f(1), f(2) are the warping functions on M. The equality case of this inequality is also considered. Further, we discuss some consequences of this inequality.