论文标题
缩小拉普拉斯孤子的新例子
New examples of shrinking Laplacian solitons
论文作者
论文摘要
我们提供了一个参数的一家参数，其中包括缩小拉普拉斯孤子的示例，这是封闭的$ g_2 $ laplacian流量的第二种已知解决方案，并具有有限的奇异性。还研究了大型$ g_2 $结构的大型家庭的扭转形式以及不同谎言组的laplacian和ricci运营商。我们应用这些公式来证明，在适当的额外条件下，这种家庭上没有封闭的特征。
We give a one-parameter family of examples of shrinking Laplacian solitons, which are the second known solutions to the closed $G_2$-Laplacian flow with a finite-time singularity. The torsion forms and the Laplacian and Ricci operators of a large family of $G_2$-structures on different Lie groups are also studied. We apply these formulas to prove that, under a suitable extra condition, there is no closed eigenform for the Laplacian on such family.
