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Öğe Inequalities for the Casorati curvatures of slant submanifolds in quaternionic space forms(Springer International Publishing Ag, 2014) Slesar, Vladimir; Sahin, Bayram; Vilcu, Gabriel-EduardIn this paper we prove two sharp inequalities that relate the normalized scalar curvature with the Casorati curvature for a slant submanifold in a quaternionic space form. Moreover, we show that in both cases, the equality at all points characterizes the invariantly quasi-umbilical submanifolds.
