Year: 2021
Type: article
Abstract: We provide the second-known example of an extremally Ricci pinched closed G 2 -structure on a compact 7-manifold, by finding a lattice in the only unimodular solvable Lie group admitting a left-invariant G 2 -structure. Furthermore, the Laplacian coflow and its solitons are studied on a 6-parameter family of left-invariant coclosed G 2 -structures on this Lie group. In this way, we obtain a 4-parameter subfamily of expanding solitons. The family is locally pairwise non-equivalent.
DOI: 10.1112/blms.12520
Authors: Ines Kath, Jorge Lauret
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Universidad Nacional de Córdoba
OpenAlex ID: W3022918186