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

By Sergey Grigorian. 2012

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Abstract We modify the Laplacian coflow of co-closed G 2 -structures – d d t ψ = Δ ψ where ψ is the closed dual 4-form of a G 2 -structure φ. The modified flow is now weakly parabolic in the direction of closed forms up to diffeomorphisms. We then prove short time existence and uniqueness of solutions to the modified flow.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/109bad970aea4df6e06ceb298611daf87a8f69eb