On the characteristic connection of gwistor space
arXiv:1107.5357 · doi:10.2478/s11533-012-0082-y
Abstract
We give a brief presentation of gwistor space, which is a new concept from G_2 geometry. Then we compute the characteristic torsion T^c of the gwistor space of an oriented Riemannian 4-manifold with constant sectional curvature k and deduce the condition under which T^c is \nabla^c-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.
Many changes since first version, including title; Central European Journal of Mathematics, 2013