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math.DG2002
Einstein Metrics via Intrinsic or Parallel Torsion
Richard Cleyton, Andrew Swann
The classification of Riemannian manifolds by the holonomy group of their Levi-Civita connection picks out many interesting classes of structures, several of which are solutions to…
math.DG2002★ 6 cited
Potential one-forms for hyperkähler structures with torsion
Liviu Ornea, Yat Sun Poon, Andrew Swann
It is shown that an HKT-space with closed parallel potential 1-form has -symmetry. Every locally conformally hyperkähler manifold generates this type of geometry. The HK…