Several fundamental inequalities for submanifolds immersed in Riemannian manifolds equipped with Golden structure

Abstract

This article's main purpose is to derive some Chen's inequalities for submanifolds immersed in Golden Riemannian manifolds having constant sectional curvatures and equipped with a semi-symmetric metric connection. It also demonstrates the associations relating to the sectional curvatures, scalar curvature, Ricci curvatures, and the mean curvature linked to the semi-symmetric metric connection. The cases pertaining to equality are considered.