Quaternionic geometry in dimension eight
Differential Geometry
2016-10-18 v1
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.
Keywords
Cite
@article{arxiv.1610.04833,
title = {Quaternionic geometry in dimension eight},
author = {Diego Conti and Thomas Bruun Madsen and Simon Salamon},
journal= {arXiv preprint arXiv:1610.04833},
year = {2016}
}
Comments
20 Pages, dedicated to Nigel Hitchin