On the characteristic torsion of gwistor space

Details On the characteristic torsion of gwistor space On the characteristic torsion of gwistor space

2011-07-26

arxiv.org/abs/1107.5357v1

Mathematics

Differential Geometry

Scientific paper

We give a presentation of gwistor space. Then we compute the characteristic torsion T^ch of the G_2-twistor space of an oriented Riemannian 4-manifold with constant sectional curvature k and deduce the condition under which T^ch is nablach-parallel; this allows for the classification of the G_2 structure with torsion and the characteristic holonomy according to known references. The case with the Einstein base manifold is envisaged.

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