On generalized $G_2$-structures and $T$-duality
Differential Geometry
2018-08-01 v1
Abstract
This is a short note on generalized -structures obtained as a consequence of a -dual construction given in a previous work of the authors together with Leonardo Soriani. Given classical -structure on certain seven dimensional manifolds, either closed or co-closed, we obtain integrable generalized -structures which are no longer an usual one, and with non-zero three form in general. In particular we obtain manifolds admitting closed generalized -structures not admitting closed (usual) -structures.
Cite
@article{arxiv.1709.09154,
title = {On generalized $G_2$-structures and $T$-duality},
author = {Viviana del Barco and Lino Grama},
journal= {arXiv preprint arXiv:1709.09154},
year = {2018}
}