论文标题
$ G_2 $ - 结构的等距流
Isometric flows of $G_2$-structures
论文作者
论文摘要
我们调查了7维流形的等距$ g_2 $结构的研究的最新进展，即，在修改$ g_2 $ - 结构的同时，保留度量的流量。特别是，最近从几个不同的角度研究了等距$ g_2 $ - 结构的热流，特别是在$ 3 $ forms，Octonions，Vector Fields和几何结构方面。我们将概述每种方法，获得的结果，并比较不同的观点。
We survey recent progress in the study of flows of isometric $G_2$-structures on 7-dimensional manifolds, that is, flows that preserve the metric, while modifying the $G_2$-structure. In particular, heat flows of isometric $G_2$-structures have been recently studied from several different perspectives, in particular in terms of $3$-forms, octonions, vector fields, and geometric structures. We will give an overview of each approach, the results obtained, and compare the different perspectives.
