The intrinsic torsion of almost quaternion-Hermitian manifolds

Details The intrinsic torsion of almost quaternion-Hermitian manifolds The intrinsic torsion of almost quaternion-Hermitian manifolds

2007-07-06

arxiv.org/abs/0707.0939v1

Mathematics

Differential Geometry

38 pages

Scientific paper

We study the intrinsic torsion of almost quaternion-Hermitian manifolds via the exterior algebra. In particular, we show how it is determined by particular three-forms formed from simple combinations of the exterior derivatives of the local Kaehler forms. This gives a practical method to compute the intrinsic torsion and is applied in a number of examples. In addition we find simple characterisations of HKT and QKT geometries entirely in the exterior algebra and compute how the intrinsic torsion changes under a twist construction.

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