A proof of the DDVV conjecture and its equality case

By Jianquan Ge, Zizhou Tang. 2008

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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.

View Paper: https://www.semanticscholar.org/paper/c95621671ce588b818c146055e154a5980d031ff