On geometry of warped product pseudo-slant submanifolds on generalized Sasakian space forms

Abstract

In the present paper, we consider warped product pseudo-slant submanifolds of generalized Sasakian space forms. We obtain an interesting inequality in terms of the second fundamental forms and the scalar curvature using Gauss equation. Next we compute to characterize the relation between the warping function and the squared norm of mean curvature of warped product pseudo-slant submanifolds of generalized Sasakian space forms under some certain conditions. Finally, we derive warped product pseudo-slant submanifolds in generalized Sasakian space forms to become Riemannian product with various mathematical and physical expressions.