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arxiv: 0801.0650 · v2 · submitted 2008-01-04 · 🧮 math.DG

A proof of the DDVV conjecture and its equality case

classification 🧮 math.DG
keywords curvaturecaseconjectureddvvequalityproofscalarform
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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.

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