Quaternionic contact Einstein manifolds
Differential Geometry
2013-06-04 v1
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.
Cite
@article{arxiv.1306.0474,
title = {Quaternionic contact Einstein manifolds},
author = {S. Ivanov and I. Minchev and D. Vassilev},
journal= {arXiv preprint arXiv:1306.0474},
year = {2013}
}