SU(3)-Structures on Hypersurfaces of Manifolds With G2-Structure

• Autores: Francisco Martín Cabrera
• Localización: Monatshefte für mathematik, ISSN 0026-9255, Vol. 148, Nº 1, 2006, págs. 29-50
• Idioma: inglés
• DOI: 10.1007/s00605-005-0343-y
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• Resumen

  • 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. Additionally, we show how to compute the intrinsic SU(3)-torsion and the intrinsic G2-torsion by means of the exterior algebra.