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A proof of the DDVV
conjecture and its equality case
Ge Jianquan and Tang Zizhou |
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Vol. 237 (2008), No. 1, 87–95
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Abstract |
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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. We also solve the problem of its equality case. |
Keywords
normal scalar curvature, mean curvature, commutator
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Mathematical Subject Classification 2000
Primary: 53C42, 15A45
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Milestones
Received: 21 November 2007
Revised: 12 February 2008
Accepted: 27 February 2008
Published: 1 September 2008
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Authors |
| Ge Jianquan | |
| Department of Mathematical
Sciences Tsinghua University Beijing 100084 China |
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| Tang Zizhou | |
| School of Mathematical
Sciences Laboratory of Mathematics and Complex Systems Beijing Normal University Beijing 100875 China |
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