Generalized G_2-manifolds and SU(3)-structures

Details Generalized G_2-manifolds and SU(3)-structures Generalized G_2-manifolds and SU(3)-structures

2006-09-28

arxiv.org/abs/math/0609820v2

Mathematics

Differential Geometry

Removed a section and added another one. Final version will appear in Internat. J. Math

Scientific paper

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 $N \times S^1$.

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