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<https://discovery-pp.ucl.ac.uk/id/eprint/10070158> <http://purl.org/ontology/bibo/abstract> "We prove that torsion-free G2 structures are (weakly) dynamically stable along the Laplacian flow for closed G2 structures. More precisely, given a torsion-free G2 structure φ¯¯¯ on a compact 7-manifold M, the Laplacian flow with initial value in [φ¯¯¯], sufficiently close to φ¯¯¯, will converge to a point in the Diff0(M)-orbit of φ¯¯¯. We deduce, from fundamental work of Joyce, that the Laplacian flow starting at any closed G2 structure with sufficiently small torsion will exist for all time and converge to a torsion-free G2 structure."^^<http://www.w3.org/2001/XMLSchema#string> .
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