On the characteristic connection of gwistor space

Rui Albuquerque

doi:10.2478/s11533-012-0082-y

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arXiv · 1107.5357

On the characteristic connection of gwistor space

Rui Albuquerque

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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.

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Rui Albuquerque. 2011-07-26. On the characteristic connection of gwistor space. https://doi.org/10.2478/s11533-012-0082-y

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