0 v 5 [ m at h . D G ] 1 5 Fe b 20 05 SU ( 3 ) - structures on hypersurfaces of manifolds with G 2 - structure
نویسنده
چکیده
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 algebra. Mathematics Subject Classification (2000): Primary 53C15; Secondary 53C10.
منابع مشابه
1 0 Fe b 20 05 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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تاریخ انتشار 2005