Publication details
Quaternionic contact Einstein manifolds
| Authors | |
|---|---|
| Year of publication | 2016 |
| Type | Article in Periodical |
| Magazine / Source | Mathematical Research Letters |
| MU Faculty or unit | |
| Citation | |
| Web | http://link.springer.com/article/10.1007/s10231-016-0571-x/fulltext.html |
| Doi | http://dx.doi.org/10.4310/MRL.2016.v23.n5.a8 |
| Field | General mathematics |
| Keywords | quaternionic contact structures; qc-conformal flatness; qc-conformal curvature; Einstein structures |
| Description | We show that a seven dimensional quaternionic contact Einstein manifold has constant qc-scalar curvature. 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 fiber over hyper-Kähler manifolds. |
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