Submanifolds with harmonic curvature
Submanifolds with harmonic curvature
A Riemannian curvature is said to be harmonic if the Ricci tensor $S$ satisfies the so-call- ed Codazzi equation $\delta S=0$ .Riemannian manifolds with harmonic curvature are studied by A. Derzi\'{n}ski [2] and A. Gray [4], who required a sufficient condition for the manifolds to be Einstein and constmcted examples …