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

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

2011-01-11

arxiv.org/abs/1101.2004v1

Mathematics

Differential Geometry

20 pages

Scientific paper

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.

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