Ricci curvature on warped product submanifolds of Sasakian-space-forms

Abstract

The paper deals with the study of Ricci curvature on warped product pointwise bi-slant submanifolds of Sasakian-space-form. We obtained some inequalities for such submanifold involving intrinsic invariant, namely the Ricci curvature invariant and extrinsic invariant, namely the squared mean curvature invariant. Some applications of Hamiltonian, Lagrangian and Hessian tensor of warping function are studied here.