Short-time behaviour of a modified Laplacian coflow of G2-structures

Abstract

We modify the Laplacian coflow of co-closed G2-structures - $\frac{d}{dt}\psi =\Delta \psi$ where $\psi$ is the closed dual 4-form of a $G_2$-structure $\phi$. The modified flow is now parabolic in the direction of closed forms upto diffeomorphisms. We then prove short time existence and uniqueness of solutions to the modified flow.

39 pages, fixed typos, expanded published version

References in corpus (4)

• Ricci Flow and the Poincare Conjecture
• Laplacian Flow for Closed $G_2$-Structures: Short Time Behavior
• Local geometry of the G2 moduli space
• Conformal equivalence between certain geometries in dimension 6 and 7

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