Deformations of homogeneous associative submanifolds in nearly parallel $G_2$-manifolds

Kotaro Kawai

A nearly parallel $G_2$-manifold $Y$ is a Riemannian 7-manifold whose cone $C(Y)={\mathbb{R}}_{>0}\times Y$ has the holonomy group contained in $\mathrm{Spin}(7)$. In other words,…