Abstract
In this paper, we consider Mθ, a pointwise slant submanifold and prove that every bi-warped product M⊥×f1MT×f2Mθ in a locally product Riemannian manifold satisfies a general inequality: ‖σ‖2≥n2‖∇→T(lnf1)‖2+n3cos2θ‖∇→θ(lnf2)‖2,where n2=dim(MT),n3=dim(Mθ) and σ is the second fundamental form and ∇T(lnf1) and ∇θ(lnf2) are the gradient components along MT and Mθ, respectively. We also discuss the equality case of this inequality. Furthermore, we give some applications and non-trivial examples.