Complete non-compact $\mathrm{Spin}(7)$-manifolds from $T^2$-bundles over AC Calabi Yau manifolds

Nicolò Cavalleri

We develop a new construction of complete non-compact 8-manifolds with Riemannian holonomy equal to $\mathrm{Spin}(7)$. As a consequence of the holonomy reduction, these mani…