A proof of the DDVV conjecture and its equality case
Differential Geometry
2009-06-27 v2
Abstract
In this paper, we give a proof of the DDVV conjecture which is a pointwise inequality involving the scalar curvature, the normal scalar curvature and the mean curvature on a submanifold of a real space form. Furthermore we solved the problem of its equality case.
Keywords
Cite
@article{arxiv.0801.0650,
title = {A proof of the DDVV conjecture and its equality case},
author = {Jianquan Ge and Zizhou Tang},
journal= {arXiv preprint arXiv:0801.0650},
year = {2009}
}
Comments
10 pages,submitted, a revised version with minor corrections to Cor1.2