关于广义$G_2$ -结构和$T$ -对偶
On generalized $G_2$-structures and $T$-duality
摘要：
这是一个简短的说明广义$G_2$ -结构作为一个结果的$T$ -对偶建设在以前的工作中的作者与莱昂纳多Soriani。给定某些七维流形上的经典$G_2$ -结构，无论是闭流形还是余闭流形，我们得到了可积的广义$G_2$ -结构，它不再是通常的结构，而是具有一般的非零3形式.特别是我们得到流形承认封闭的广义$G_2$ -结构不承认封闭的（通常）$G_2$ -结构。
英文摘要：
This is a short note on generalized $G_2$-structures obtained as a consequence of a $T$-dual construction given in a previous work of the authors together with Leonardo Soriani. Given classical $G_2$-structure on certain seven dimensional manifolds, either closed or co-closed, we obtain integrable generalized $G_2$-structures which are no longer an usual one, and with non-zero three form in general. In particular we obtain manifolds admitting closed generalized $G_2$-structures not admitting closed (usual) $G_2$-structures.
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