info:eu-repo/semantics/article
The classification of ERP G 2-structures on Lie groups
Fecha
2020-12-04Registro en:
Lauret, Jorge Ruben; Nicolini, Marina; The classification of ERP G 2-structures on Lie groups; Springer Heidelberg; Annali Di Matematica Pura Ed Applicata; 199; 6; 4-12-2020; 2489-2510
0373-3114
1618-1891
CONICET Digital
CONICET
Autor
Lauret, Jorge Ruben
Nicolini, Marina
Resumen
A complete classification of left-invariant closed G2-structures on Lie groups which are extremally Ricci pinched (i.e., dτ=16|τ|2φ+16∗(τ∧τ)), 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.