The Almost Complex Structure on ${\mathbb{S}}^6$ and Related Schrodinger Flows

Qing Ding, Shiping Zhong

In this paper, by using the $G_2$-structure on Im$(\mathbb{O})\cong {\mathbb{R}}^7$ from the octonions $\mathbb{O}$, the $G_2$-binormal motion of curves $\gamma (t,s)$ in ${\mathbb{R}}^7$ associa…