Einstein submanifolds with parallel mean curvature
Differential Geometry
2017-12-18 v2
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.
Cite
@article{arxiv.1710.08667,
title = {Einstein submanifolds with parallel mean curvature},
author = {Christos-Raent Onti},
journal= {arXiv preprint arXiv:1710.08667},
year = {2017}
}
Comments
Some minor changes, To appear in Arch. Math. (Basel)