Minimal isoparametric submanifolds of ${\mathbb{S}}^7$ and octonionic eigenmaps

Fidelis Bittencourt, Daniel Bustos, Edson Figueiredo +2

We use the octonionic multiplication $\cdot$ of ${\mathbb{S}}^7$ to associate, to each unit normal section $\eta$ of a submanifold $M$ of ${\mathbb{S}}^7,$ an octonionic Gauss map $γ_…