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arXiv · 1709.09154

On generalized $G_2$-structures and $T$-duality

Viviana del Barco·Lino Grama
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Abstract

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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Viviana del Barco, Lino Grama. 2017-09-26. On generalized $G_2$-structures and $T$-duality. https://doi.org/10.1016/j.geomphys.2018.05.021

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