Extremally Ricci pinched G2-structures on Lie groups
Differential Geometry
2020-01-08 v2
Abstract
Only two examples of extremally Ricci pinched G2-structures can be found in the literature and they are both homogeneous. We study in this paper the existence and structure of such very special closed G2-structures on Lie groups. Strong structural conditions on the Lie algebra are proved to hold. As an application, we obtain three new examples of extremally Ricci pinched G2-structures and that they are all necessarily steady Laplacian solitons. The deformation and rigidity of such structures are also studied.
Keywords
Cite
@article{arxiv.1902.06375,
title = {Extremally Ricci pinched G2-structures on Lie groups},
author = {Jorge Lauret and Marina Nicolini},
journal= {arXiv preprint arXiv:1902.06375},
year = {2020}
}
Comments
22 pages. Final version to appear in Comm. Anal. Geom