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In this paper, we prove the inequality between the generalized normalized δ-Casorati curvatures and the normalized scalar curvature for the bi-slant submanifolds in T−space forms and consider the equality case of the inequality. We also develop same results for semi-slant submanifolds, hemi-slant submanifolds, CR-submanifolds, slant submanifolds, invariant and anti-invariant submanifolds in T−space forms.doi:10.2298/fil1801329a fatcat:fiawrlxk3bg3tght6lmfj2t7su