In the present paper, we establish sharp inequalities involving generalized normalized δ-Casorati curvatures for invariant, anti-invariant and slant submanifolds in metallic Riemannian space forms and characterize the submanifolds for which the equality holds.

In the present paper, we derive optimal inequalities involving generalized normalized δ-Casorati curvatures for slant submanifolds in a golden Riemannian space form. We obtain these inequalities by analysing a suitable constrained extrememum problem on submanifold.

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