SU(3)-structures on hypersurfaces of manifolds with G2-structure
Francisco Martin Cabrera
Abstract
We study SU(3)-structures induced on orientable hypersurfaces of seven-dimensional 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. Additionaly, we show how to compute the intrinsic SU(3)-torsion and the intrinsic G2-torsion by means of exterior algebra.
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