# Soliton solutions for the Laplacian co-flow of some G2-structures with symmetry

@article{Karigiannis2012SolitonSF,
title={Soliton solutions for the Laplacian co-flow of some G2-structures with symmetry},
author={Spiro Karigiannis and B. Mckay and M. Tsui},
journal={Differential Geometry and Its Applications},
year={2012},
volume={30},
pages={318-333}
}
• Published 2012
• Mathematics
• Differential Geometry and Its Applications
Abstract We consider the Laplacian “co-flow” of G 2 -structures: ∂ ∂ t ψ = − Δ d ψ where ψ is the dual 4-form of a G 2 -structure φ and Δ d is the Hodge Laplacian on forms. Assuming short-time existence and uniqueness, this flow preserves the condition of the G 2 -structure being coclosed ( d ψ = 0 ). We study this flow for two explicit examples of coclosed G 2 -structures with symmetry. These are given by warped products of an interval or a circle with a compact 6-manifold N which is taken to… Expand
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