Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Recent results on closed G_2-structures

Alberto Raffero (Università di Torino)

created by daniele on 20 Sep 2021

28 sep 2021 -- 17:00

Unviersità di Torino (online)

Seminario PRIN 2017 "Real and Complex Manifolds: Topology, Geometry and Holomorphic Dynamics"


G2-structures defined by a closed non-degenerate 3-form constitute the starting point in known and potentially effective methods to obtain holonomy G2 metrics on seven-dimensional manifolds. Albeit linear, the closed condition is quite restrictive, and no general results on the existence of closed G2-structures on compact 7-manifolds are currently known. In this talk, I will discuss some recent results concerning the construction of examples with large symmetry group and the existence of special types of closed G2-structures.

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