English

The Laplacian coflow on almost-abelian Lie groups

Differential Geometry 2018-04-26 v2

Abstract

We find explicit solutions of the Laplacian coflow of G2G_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.

Keywords

Cite

@article{arxiv.1711.03751,
  title  = {The Laplacian coflow on almost-abelian Lie groups},
  author = {Leonardo Bagaglini and Anna Fino},
  journal= {arXiv preprint arXiv:1711.03751},
  year   = {2018}
}
R2 v1 2026-06-22T22:41:55.124Z