Invariant Ricci-flat Metrics of Cohomogeneity One with Wallach Spaces as Principal Orbits

Hanci Chi

We construct a continuous 1-parameter family of smooth complete Ricci-flat metrics of cohomogeneity one on vector bundles over ${\mathbb{CP}}^2$, ${\mathbb{HP}}^2$ and ${\mathbb{OP}}^2$…