Einstein submanifolds with parallel mean curvature
arXiv:1710.08667
Abstract
We provide a classification of Einstein submanifolds in space forms with flat normal bundle and parallel mean curvature. This extends a previous result due to Dajczer and Tojeiro for isometric immersions of Riemannian manifolds with constant sectional curvature.
Some minor changes, To appear in Arch. Math. (Basel)