On compact homogeneous $\mathrm{G}_{2(2)}$-manifolds
Differential Geometry
2019-09-10 v2
Abstract
We prove that among all compact homogeneous spaces for an effective transitive action of a Lie group whose Levi subgroup has no compact simple factors, the seven-dimensional flat torus is the only one that admits an invariant torsion-free -structure.
Cite
@article{arxiv.1808.10160,
title = {On compact homogeneous $\mathrm{G}_{2(2)}$-manifolds},
author = {Wolfgang Globke},
journal= {arXiv preprint arXiv:1808.10160},
year = {2019}
}
Comments
minor clarification in second (published) version