The Ricci tensor of SU(3)-manifolds
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🧮 math.DG
math.SG
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torsionintrinsicricciapproachbryantcasesconditionconsequence
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Following the approach of Bryant 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.
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