论文标题
封闭的G2结构，具有共同平坦的度量
Closed G2-structures with conformally flat metric
论文作者
论文摘要
本文对封闭的G2结构进行了分类，以使诱导的度量标准在形式上是平坦的。结果表明，任何具有共形平面度量的封闭的G2结构在局部等同于三个显式示例之一。特别是，从分类中遵循的任何封闭的G2结构诱导了既平面又完整的度量标准，都必须等于$ \ Mathbb {r}^7的平面G2结构。
This article classifies closed G2-structures such that the induced metric is conformally flat. It is shown that any closed G2-structure with conformally flat metric is locally equivalent to one of three explicit examples. In particular, it follows from the classification that any closed G2-structure inducing a metric that is both conformally flat and complete must be equivalent to the flat G2-structure on $\mathbb{R}^7.$
