An Explicit Construction of Self-dual 2-forms in Eight Dimensions

Ayse Humeyra Bilge, Tekin Dereli, Sahin Kocak

The geometry of self-dual 2-forms in eight dimensions is studied. These 2-forms determine an $n^2-n+1$ dimensional manifold ${\mathcal{S}}_{2n}$. We prove that for add $n$, it has only…