arXiv:math/0606786 Abstract

arXiv:math/0606786 [math.DG]Abstract References Reviews Resources

The Ricci tensor of SU(3)-manifolds

Published 2006-06-30, updated 2006-10-17Version 3

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.

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

Journal: J. Geom. Phys. 57 (2007), n. 4, 1125-1146

DOI: 10.1016/j.geomphys.2006.09.007

Categories: math.DG, math.SG

Subjects: 53C10, 53C15, 53D15, 53C29

Keywords: ricci tensor, intrinsic torsion, einstein condition forces, torsion forms, special cases

Tags: journal article

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