Stability of torsion-free G_2 structures along the Laplacian flow

We prove that torsion-free G_2 structures are (weakly) dynamically stable along the Laplacian flow for closed G_2 structures. More precisely, given a torsion-free G_2 structure $\varphi$ on a compact 7-manifold, the Laplacian flow with initial value cohomologous and sufficiently close to $\varphi$ w...

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Main Authors: Lotay, J, Wei, Y
格式: Journal article
出版: International Press 2019