# Explicit soliton for the Laplacian co-flow on a solvmanifold

@article{Moreno2019ExplicitSF,
title={Explicit soliton for the Laplacian co-flow on a solvmanifold},
author={Andr{\'e}s J. Moreno and Henrique N. S{\'a} Earp},
journal={S{\~a}o Paulo Journal of Mathematical Sciences},
year={2019},
volume={15},
pages={280-292}
}
• Published 7 February 2019
• Mathematics
• São Paulo Journal of Mathematical Sciences
We apply the general Ansatz proposed by Lauret (Rend Semin Mat Torino 74:55–93, 2016 ) for the Laplacian co-flow of invariant $$\mathrm {G}_2$$ G 2 -structures on a Lie group, finding an explicit soliton on a particular almost Abelian 7–manifold. Our methods and the example itself are different from those presented by Bagaglini and Fino (Ann Mat Pura Appl 197(6):1855–1873, 2018 ).
2 Citations

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