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arXiv · 1306.0474

Quaternionic contact Einstein manifolds

S. Ivanov·I. Minchev·D. Vassilev
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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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S. Ivanov, I. Minchev, D. Vassilev. 2013-06-03. Quaternionic contact Einstein manifolds. https://arxiv.org/abs/1306.0474

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