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SU(3)-structures on hypersurfaces of manifolds with G_2-structure

Francisco Martin Cabrera
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Abstract

We study SU(3)-structures induced on orientable hypersurfaces of seven-dimensional manifolds with G_2-structure. Taking Gray-Hervella types for both structures into account, we relate the type of SU(3)-structure and the type of G_2-structure with the shape tensor of the hypersurface. Additionaly, we show how to compute the intrinsic SU(3)-torsion and the intrinsic G_2-torsion by means of exterior algebra.

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Francisco Martin Cabrera. 2005-07-22. SU(3)-structures on hypersurfaces of manifolds with G_2-structure. https://arxiv.org/abs/math/0410610

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