Bounds for Generalized Normalized δ-Casorati Curvatures for Bi-slant Submanifolds in T−space Forms

Abstract

In this paper, we prove the inequality between the generalized normalized $\delta$-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 form.