A proof of the DDVV conjecture and its equality case

Details A proof of the DDVV conjecture and its equality case A proof of the DDVV conjecture and its equality case

2008-01-04

arxiv.org/abs/0801.0650v2

Pacific Journal of Mathematics, Vol. 237 (2008), No. 1, 87-95

Mathematics

Differential Geometry

10 pages,submitted, a revised version with minor corrections to Cor1.2

Scientific paper

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.

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