The Laplacian coflow on almost-abelian Lie groups

2017/11/10 by Bagaglini, Leonardo, Fino, Anna
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1711.03751

Abstract

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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