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

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.

20 pages

References in corpus (2)

• Flows of G_2 Structures, I
• Some remarks on G_2-structures

Cited by in corpus (19)

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• The Space of Closed $G_2$-Structures. I. Connections
• A remark on the Laplacian flow and the modified Laplacian co-flow in G2-Geometry
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• Laplacian coflow for warped ${\mathrm{G}}_2$-structures