Article ID Journal Published Year Pages File Type
1895180 Journal of Geometry and Physics 2007 22 Pages PDF
Abstract

Following the approach of Bryant [R. Bryant, Some remarks on G2-structures. e-print: math.DG/0305124] we study the intrinsic torsion of a SU(3)-manifold deriving a number of formulae for the Ricci and the scalar curvature in terms of torsion forms. As a consequence we prove that in some special cases the Einstein condition forces the vanishing of the intrinsic torsion.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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