2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/136503In this paper, we proved P(n,3), which is an important part of the DDVV conjecture. The general case will be treated in the next version of the paper.Differential Geometry58C40On the DDVV Conjecture and the Comass in Calibrated Geometry (II)text