Distinguished G2-structures on solvmanifolds

JORGE LAURET

Toronto

Congreso; Workshop on G2 Manifolds and Related Topics; 2019

Fields Institue

Among closed G2-structures there are two very distinguished classes: Lapla-cian solitons and Extremally Ricci-pinched G2-structures. We study the existence problemand explore possible interplays between these concepts in the context of left-invariantG2-structures on solvable Lie groups. Also, some Ricci pinching properties of G2-structures on solvmanifolds are obtained, in terms of the extremal values and pointsof the functional F = Scal2| Ric |2 , 0 < F < 7. Many natural open problems have been included.