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G. Molino - The Horizontal Einstein Property for H-Type sub-Riemannian Manifolds

We generalize the notion of H-type sub-Riemannian manifolds introduced by Baudoin and Kim, and then introduce a notion of parallel Clifford structure related to a recent work of Moroianu and Semmelmann. On those structures, we prove an Einstein property for the horizontal distribution using ideas from Ishihara’s work on hyper-Kahler and bquaternionic Kahler manifolds. This is a joint work with F. Baudoin, E. Grong, and L. Rizzi.
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