Yang-Mills solutions and Spin(7)-instantons on cylinders over coset spaces with $G_2$-structure

Alexander S. Haupt

We study $\mathfrak{g}$-valued Yang-Mills fields on cylinders $Z(G/H)=\mathbb{R}\times G/H$, where G/H is a compact seven-dimensional coset space with $G_2$-structure, $\mathfrak{…