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...

Cur síos iomlán

Sonraí bibleagrafaíochta
Príomhchruthaitheoirí: Lotay, J, Wei, Y
Formáid: Journal article
Foilsithe / Cruthaithe: International Press 2019