On the DDVV conjecture and the comass in calibrated geometry (I)
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In this paper, we proved the first non-trivial case of the DDVV conjecture. Namely, for all 3 × 3 matrices, the DDVV inequality is valid. We also classified all the minimal submanifolds for which the equality holds.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/6678a052ce8b825fe321b68a6f525e4b95fc5bb0
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In Applied Mathematics
Citations in the corpus
- Remarks on an inequality involving the normal scalar curvature (2006, background): “Recently the conjecture was proved for n = 3 in [ 6 ] and for m = 3 in [13].”