Laplacian Flow for Closed $G_2$-Structures: Short Time Behavior

Bryant, RXu, F2016-12-032011-01-11https://hdl.handle.net/10161/13140We prove short time existence and uniqueness of solutions to the Laplacian flow for closed $G_2$ structures on a compact manifold $M^7$. The result was claimed in \cite{BryantG2}, but its proof has never appeared.20 pagesmath.DGmath.DGLaplacian Flow for Closed $G_2$-Structures: Short Time BehaviorJournal article