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In this paper, we establish some inequalities for submanifolds of real space forms endowed with a Ricci quarter-symmetric metric connection. Using these inequalities, we obtain the relation between Ricci curvature, scalar curvature and the mean curvature endowed with the Ricci quartersymmetric metric connection.

Chen Inequalities for Submanifolds of Real Space Forms with a Ricci Quarter-Symmetric Metric Connection