Submanifolds with parallel Ricci tensor
The author gives a classification of submanifolds of a Riemannian manifold of constant sectional curvature having parallel Ricci tensor, parallel mean curvature vector field and trivial normal connection. A corollary is the classification of 2-codimensional Einstein submanifolds of a Riemannian manifold of constant sectional curvature having parallel mean curvature vector field. It is shown that the submanifolds in question have parallel second fundamental form. The proof of Theorem 1 as it is written in the paper seems to be incomplete but the lacking arguments can be supplied rather easily.
scientific article; zbMATH DE number 4071848
scientific article