# 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} }

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 ).

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