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arxiv: 1306.0474 · v1 · pith:I757PKH4new · submitted 2013-06-03 · 🧮 math.DG

Quaternionic contact Einstein manifolds

classification 🧮 math.DG
keywords contacteinsteinflatmanifoldsquaternionicstructuresadditioncertain
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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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