Inequalities involving k-Chen invariants for submanifolds of Riemannian product manifolds

Abstract

An optimal inequality involving the scalar curvatures, the mean curvature and the k-Chen invariant is established for Riemannian submanifolds. Particular cases of this inequality is reported. Furthermore, this inequality is investigated on submanifolds, namely slant, F-invariant and F-anti invariant submanifolds of an almost constant curvature manifold.

Keywords

• Curvature,Riemannian submanifolds,almost constant curvature manifold

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