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math.DG2010
HKT manifolds with holonomy SL(n,H)
Stefan Ivanov, Alexander Petkov
We show that on an HKT manifold the holonomy of the Obata connection is contained in SL(n,H) if and only if the Lee form is an exact one form. As an application, we show compact HK…
math.DG2010★ 1 cited
The twistor space of a quaternionic contact manifold
Johann Davidov, Stefan Ivanov, Ivan Minchev
We show that the CR structure on the twistor space of a quaternionic contact structure described by Biquard is normal if and only if the Ricci curvature of the Biquard connection c…