The classification of ERP G2-structures on Lie groups
Differential Geometry
2020-03-27 v2
Abstract
A complete classification of left-invariant closed G2-structures on Lie groups which are extremally Ricci pinched, up to equivalence and scaling, is obtained. There are five of them, they are defined on five different completely solvable Lie groups and the G2-structure is exact in all cases except one, given by the only example in which the Lie group is unimodular.
Keywords
Cite
@article{arxiv.1909.10620,
title = {The classification of ERP G2-structures on Lie groups},
author = {Jorge Lauret and Marina Nicolini},
journal= {arXiv preprint arXiv:1909.10620},
year = {2020}
}
Comments
16 pages. Final version to appear in Annali di Matematica Pura ed Applicata