Geometric Inequality for CR-Slant Warped Product Submanifolds in Nearly Lorentzian Para-Sasakian Manifold

Abstract

This paper examines CR-slant warped product submanifolds of the form $B \times_f N_\theta$ within a nearly Lorentzian para-Sasakian manifold. Here, $B$ represents a CR-product submanifold, $N_\theta$ is a slant submanifold and $f$ denotes the warping function. We establish an inequality relating the squared norm of the second fundamental form to the warping function, considering two cases based on the behavior of the structure vector field. Additionally, the conditions under which equality holds are investigated.