Hineva Inequality for Submanifolds of Real Space Forms with Semi-Symmetric Non-Metric Connection

Abstract

In this paper, we establish the Hineva inequality for submanifolds of a real space form endowed with a semi-symmetric non-metric connection. We derive a sharp lower bound for the Ricci curvature of the submanifold in terms of the mean curvature vector and the squared norm of the second fundamental form. We apply this inequality to derive the Hineva inequality for several classes of submanifolds.