paper

Quaternionic geometry in dimension eight

arXiv:1610.04833

Abstract

We describe the 8-dimensional Wolf spaces as cohomogeneity one SU(3)-manifolds, and discover perturbations of the quaternion-kaehler metric on the simply-connected 8-manifold G_2/SO(4) that carry a closed fundamental 4-form but are not Einstein.

20 Pages, dedicated to Nigel Hitchin