The intrinsic torsion of almost quaternion-Hermitian manifolds
Copyright policy )The intrinsic torsion of almost quaternion-Hermitian manifolds
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 Kähler 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.
- University of Southern Denmark Denmark
- University of La Laguna Spain
Mathematics - Differential Geometry, \(G\)-structure, \(G\)-connection, almost Hermitian structure, HKT-manifold, Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry, Differential Geometry (math.DG), intrinsic torsion, General geometric structures on manifolds (almost complex, almost product structures, etc.), almost quaternion-Hermitian structure, FOS: Mathematics, 53C15, 53C10, 53C26, 53C80, \(G\)-structures, Applications of global differential geometry to the sciences, QKT-manifold
Mathematics - Differential Geometry, \(G\)-structure, \(G\)-connection, almost Hermitian structure, HKT-manifold, Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry, Differential Geometry (math.DG), intrinsic torsion, General geometric structures on manifolds (almost complex, almost product structures, etc.), almost quaternion-Hermitian structure, FOS: Mathematics, 53C15, 53C10, 53C26, 53C80, \(G\)-structures, Applications of global differential geometry to the sciences, QKT-manifold
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