%0 Journal Article %T A proof of the DDVV conjecture and its equality case %A Jianquan Ge %A Zizhou Tang %J Mathematics %D 2008 %I arXiv %X 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. %U http://arxiv.org/abs/0801.0650v2