$G_2$-Holonomy Metrics Connected with a 3-Sasakian Manifold

Yaroslav V. Bazaikin, Eugene G. Malkovich

We construct complete noncompact Riemannian metrics with $G_2$-holonomy on noncompact orbifolds that are ${\mathbb{R}}^3$-bundles with the twistor space $\mathcal{Z}$ as a spherical fibe…