A note on the Ricci scalar of six dimensional manifold with SU(2) structure

preprint2016arXivOpen access

Abstract

Taking [math/0606786] as an inspiration, we study the intrinsic torsion of a SU(2) structure manifold in six dimensions to give a formula for the Ricci scalar in terms of torsion classes. The derivation is founded on the SU(3) result coming from the aforementioned paper.

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