English

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

Differential Geometry 2011-01-12 v1

Abstract

We prove short time existence and uniqueness of solutions to the Laplacian flow for closed G2G_2 structures on a compact manifold M7M^7. The result was claimed in \cite{BryantG2}, but its proof has never appeared.

Cite

@article{arxiv.1101.2004,
  title  = {Laplacian Flow for Closed $G_2$-Structures: Short Time Behavior},
  author = {Robert Bryant and Feng Xu},
  journal= {arXiv preprint arXiv:1101.2004},
  year   = {2011}
}

Comments

20 pages

R2 v1 2026-06-21T17:10:10.845Z