Curvature invariants of slant submanifolds in S-space forms

In this paper, we establish some relationships between the main intrinsic invariants, scalar and Ricci curvatures, and the main extrinsic invariant, the mean curvature vector, for slant submanifolds of S-space-forms. In addition to that, we study those slant submanifolds satisfying the equality case between the above invariants, due to the great importance that these submanifolds have had in both complex and contact geometry. Moreover, we present some examples on these conditions.