The Ricci tensor of SU(3)-manifolds

Abstract

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.

25 pages. To appear in "Journal of Geometry and Physics". Corollary 4.1 is modified. Some typos are corrected

References in corpus (2)

• The Srni lectures on non-integrable geometries with torsion
• Special symplectic six-manifolds

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