We find explicit solutions of the Laplacian coflow of G₂ -structures on seven-dimensional almost-abelian Lie groups. Moreover, we construct new examples of solitons for the Laplacian coflow which are not eigenforms of the Laplacian and we exhibit a solution, which is not a soliton, having a bounded interval of existence.
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Bagaglini et al. (2018) studied this question.
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