We propose fundamental inequalities for contact pseudo-slant submanifolds of (ϵ)-para Sasakian space form employing generalized normalized δ-Casorati curvature. characterize which equality cases hold and illustrate the main result with some applications. Further, we have considered a certain type submanifold Ricci soliton after computing its scalar curvature, developed an inequality to find cor...

This study attempts to establish new upper bounds on the mean curvature and constant sectional of first positive eigenvalue ψ − Laplacian operator Riemannian manifolds. Various approaches are being used find for closed oriented bi-slant submanifolds in a Sasakian space form. We extend different Reilly-like inequalities unit sphere depending our results operator. The conclusion this considers so...