Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
home | mail | people | news | seminars | events | open positions | login

Closed G2-structures and Laplacian solitons

Alberto Raffero (Università di Torino)

created by daniele on 11 Oct 2018
modified on 19 Nov 2018

22 nov 2018 -- 15:30

Aula 5, DiMaI, Firenze


$G_2$-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.

Credits | Cookie policy | HTML 5 | CSS 2.1