# Closed G2-structures and Laplacian solitons

## Alberto Raffero (Università di Torino)

created by daniele on 11 Oct 2018
modified on 16 Nov 2018

22 nov 2018 -- 15:00

Aula Tricerri, DiMaI, Firenze

Abstract.

$G_2$-structures defined by a closed positive $3$-form constitute the starting point in various known and potential methods to obtain holonomy $G_2$ metrics. Albeit linear, the closed condition is quite restrictive, and no general results on the existence of closed $G_2$-structures on compact $7$-manifolds are known. In this talk, I shall review some recent results on the construction of compact examples with high degree of symmetry, and I shall discuss the properties of closed $G_2$-structures giving rise to self-similar solutions of the $G_2$-Laplacian flow.

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