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arXiv:0801.0650 [math.DG]AbstractReferencesReviewsResources

A proof of the DDVV conjecture and its equality case

Jianquan Ge, Zizhou Tang

Published 2008-01-04, updated 2008-01-11Version 2

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.

Comments: 10 pages,submitted, a revised version with minor corrections to Cor1.2
Journal: Pacific Journal of Mathematics, Vol. 237 (2008), No. 1, 87-95
Categories: math.DG
Subjects: 53C42
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