The Laplacian coflow on almost-abelian Lie groups
Annali di Matematica Pura ed Applicata（2018）
Abstract
We find explicit solutions of the Laplacian coflow of G_2 -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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Key words
$${G}_2$$G2-structures, Laplacian coflow, Solitons, Lie groups, 53C15, 22E25
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