A new example of a compact ERP G2-structure
Differential Geometry
2021-09-17 v1
Abstract
We provide the second known example of an extremally Ricci pinched closed G2-structure on a compact 7-manifold, by finding a lattice in the only unimodular solvable Lie group admitting a left-invariant G2-structure. Furthermore, the Laplacian coflow and its solitons are studied on a 6-parameter family of left-invariant coclosed G2-structures on this Lie group. In this way, we obtain a 4-parameter subfamily of expanding solitons. The family is locally pairwise non-equivalent.
Keywords
Cite
@article{arxiv.2005.02462,
title = {A new example of a compact ERP G2-structure},
author = {Ines Kath and Jorge Lauret},
journal= {arXiv preprint arXiv:2005.02462},
year = {2021}
}
Comments
18 pages