University of Connecticut
Talk Title: The Horizontal Einstein Property for H-type Foliations
Abstract: 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 quaternionic Kahler manifolds. This is a joint work with F. Baudoin, E. Grong, and L. Rizzi.