Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Closed G2-structures on unimodular with non-trivial center Lie groups

Francesca Salvatore

created by daniele on 04 Mar 2021
modified on 06 May 2021

13 may 2021 -- 14:30

DIMaI, Firenze (online)

Seminario di Geometria Differenziale e Analisi Complessa del Dipartimento di Matematica e Informatica "Ulisse Dini" dell'Università di Firenze


Closed $G_2$-structures arise as a natural generalization of torsion-free $G_2$-structures on seven- dimensional smooth manifolds. In this talk, I shall focus on Lie groups with non-trivial

center endowed with a left-invariant closed $G_2$-structure. After highlighting the relation with six-dimensional geometry, I shall present a classification result in the unimodular case as well as new compact examples. Results about Laplacian solitons, which correspond to self-similar solutions of the $G_2$-Laplacian flow introduced by Bryant, are also included. This is joint work with A. Fino and A. Raffero.

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