Distinguished G2-structures on solvmanifolds
Differential Geometry
2018-10-19 v1
Abstract
Among closed G2-structures there are two very distinguished classes: Laplacian solitons and Extremally Ricci-pinched G2-structures. We study the existence problem and explore possible interplays between these concepts in the context of left-invariant G2-structures on solvable Lie groups. Also, some Ricci pinching properties of G2-structures on solvmanifolds are obtained, in terms of the extremal values and points of the Ricci pinching functional F=scal/|Ric|. Many natural open problems have been included.
Keywords
Cite
@article{arxiv.1810.08099,
title = {Distinguished G2-structures on solvmanifolds},
author = {Jorge Lauret},
journal= {arXiv preprint arXiv:1810.08099},
year = {2018}
}
Comments
To appear in a forthcoming volume of the Fields Institute Communications, entitled "Lectures and Surveys on G2 manifolds and related topics". 14 pages