Bryant, R; Xu, F, Laplacian Flow for Closed $G_2$-Structures: Short Time Behavior
(January, 2011)
(last updated on 2024/04/24)
Abstract: We 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.