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Quaternionic contact Einstein manifolds
Published 3 Jun 2013 in math.DG | (1306.0474v1)
Abstract: The main result is that the qc-scalar curvature of a seven dimensional quaternionic contact Einstein manifold is a constant. In addition, we characterize qc-Einstein structures with certain flat vertical connection and develop their local structure equations. Finally, regular qc-Ricci flat structures are shown to fibre over hyper-Kahler manifolds.
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