Inequalities for the Generalized Normalized <i>δ</i>-Casorati Curvatures of Submanifolds in Golden Riemannian Manifolds

Abstract

In the present article, we consider submanifolds in golden Riemannian manifolds with constant golden sectional curvature. On such submanifolds, we prove geometric inequalities for the Casorati curvatures. The submanifolds meeting the equality cases are also described.

Keywords

• Riemannian manifolds
• golden structure
• <i>δ</i>-Casorati curvature
• optimal inequality