Generalized G_2-manifolds and SU(3)-structures

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We construct a compact example of 7- dimensional manifold endowed with a weakly integrable generalized G_2-structure with respect to a closed and non trivial 3-form. Moreover, we investigate which type of SU(3)-structures on a 6-dimensional manifold N give rise to a strongly integrable generalized G_2-structure with respect to a non trivial 3-form on the product $N \times S^1$.
Removed a section and added another one. Final version will appear in Internat. J. Math

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Differential Geometry, 53C10; 53C25; 83E50

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http://salesiana.dossiersoluciones.com/handle/123456789/142637

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0609820
 http://arxiv.org/abs/math/0609820

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arXiv