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arXiv · 1704.00295

Laplacian coflow on the 7-dimensional Heisenberg group

Leonardo Bagaglini·Marisa Fernández·Anna Fino
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Abstract

We study the Laplacian coflow and the modified Laplacian coflow of $G_2$-structures on the $7$-dimensional Heisenberg group. For the Laplacian coflow we show that the solution is always ancient, that is it is defined in some interval $(-\infty,T)$, with $0<T<+\infty$. However, for the modified Laplacian coflow, we prove that in some cases the solution is defined only on a finite interval while in other cases the solution is ancient or eternal, that is it is defined on $(-\infty, \infty)$.

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Leonardo Bagaglini, Marisa Fernández, Anna Fino. 2017-04-02. Laplacian coflow on the 7-dimensional Heisenberg group. https://arxiv.org/abs/1704.00295

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