Generalized G2-manifolds and Su(3)-structures
نویسنده
چکیده
We construct a family of compact 7-dimensional manifolds endowed with a weakly integrable generalized G2-structure with respect to a closed and non-zero 3-form. We relate the previous structures with SU(3)structures in dimension 7. Moreover, we investigate which types of SU(3)structures on a 6-dimensional manifold N give rise to a strongly integrable generalized G2-structure with respect to a non-zero 3-form on the product N × S.
منابع مشابه
Su(3)-structures on Hypersurfaces of Manifolds with G 2 -structure
We study SU(3)-structures induced on orientable hypersurfaces of sevendimensional manifolds with G2-structure. Taking Gray-Hervella types for both structures into account, we relate the type of SU(3)-structure and the type of G2-structure with the shape tensor of the hypersurface. Additionally, we show how to compute the intrinsic SU(3)-torsion and the intrinsic G2-torsion by means of exterior ...
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