Holonomy groups of $G_2^*$-manifolds
Differential Geometry
2016-04-05 v1
Abstract
We classify the holonomy algebras of manifolds admitting an indecomposable torsion free -structure, i.e. for which the holonomy representation does not leave invariant any proper non-degenerate subspace. We realize some of these Lie algebras as holonomy algebras of left-invariant metrics on Lie groups.
Keywords
Cite
@article{arxiv.1604.00528,
title = {Holonomy groups of $G_2^*$-manifolds},
author = {Anna Fino and Ines Kath},
journal= {arXiv preprint arXiv:1604.00528},
year = {2016}
}