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

Journal Article (Academic article)

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.

Full Text

Duke Authors

Cited Authors

  • Bryant, R; Xu, F

Published Date

  • January 11, 2011