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Closed $G_{2}$-structures

By Anna Fino

Appears in collection : Workshop on Differential Geometry and Nonassociative Algebras / Colloque en géométrie différentielle et algèbres non associatives

I will review known examples of compact 7-manifolds admitting a closed $G_{2}$-structure. Moreover, I will discuss some results on the behaviour of the Laplacian $G_{2}$-flow starting from a closed $G_{2}$-structure whose induced metric satisfies suitable extra condition.

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