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arXiv · 1711.03751

The Laplacian coflow on almost-abelian Lie groups

Leonardo Bagaglini·Anna Fino
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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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Leonardo Bagaglini, Anna Fino. 2017-11-10. The Laplacian coflow on almost-abelian Lie groups. https://arxiv.org/abs/1711.03751

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