论文标题
几乎$ g_2 $ - 结构的变形
Deformations of nearly $G_2$-structures
论文作者
论文摘要
我们描述了紧凑型歧管上几乎$ g_2 $结构的变形的二阶障碍物。在B.Alexandrov和U.Semmelmann的工作的基础上,这允许证明刚性的刚性,对于Aloff-Wallach Space $ n(1,1)$的适当$ G_2 $结构的适用性。
We describe the second order obstruction to deformation for nearly $G_2$ structures on compact manifolds. Building on work of B.Alexandrov and U.Semmelmann this allows proving rigidity under deformation for the proper nearly $G_2$ structure on the Aloff-Wallach space $N(1,1)$.