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arXiv · 1209.4347

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

Sergey Grigorian
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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 $\varphi $. 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.

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Sergey Grigorian. 2012-09-19. Short-time behaviour of a modified Laplacian coflow of G2-structures. https://doi.org/10.1016/j.aim.2013.08.013

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