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

High Energy Physics - Theory 2016-02-22 v2 Mathematical Physics math.MP

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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Cite

@article{arxiv.1601.04716,
  title  = {A note on the Ricci scalar of six dimensional manifold with SU(2) structure},
  author = {Gautier Solard},
  journal= {arXiv preprint arXiv:1601.04716},
  year   = {2016}
}

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5 pages