Half-flat structures on S^3xS^3
Differential Geometry
2014-07-30 v2 High Energy Physics - Theory
Abstract
We describe left-invariant half-flat SU(3)-structures on S^3xS^3 using the representation theory of SO(4) and matrix algebra. This leads to a systematic study of the associated cohomogeneity one Ricci-flat metrics with holonomy G_2 obtained on 7-manifolds with equidistant S^3xS^3 hypersurfaces. The generic case is analysed numerically.
Cite
@article{arxiv.1211.6845,
title = {Half-flat structures on S^3xS^3},
author = {Thomas Bruun Madsen and Simon Salamon},
journal= {arXiv preprint arXiv:1211.6845},
year = {2014}
}
Comments
23 pages, 6 figures. To appear in Annals of Global Analysis and Geometry