Publication details
Holonomy algebras of Einstein pseudo-Riemannian manifolds
| Authors | |
|---|---|
| Year of publication | 2018 |
| Type | Article in Periodical |
| Magazine / Source | JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES |
| Citation | |
| Doi | http://dx.doi.org/10.1112/jlms.12135 |
| Description | The holonomy algebras of Einstein not Ricci-flat pseudo-Riemannian manifolds of arbitrary signature are classified. As illustrating examples, the cases of Lorentzian manifolds, pseudo-Riemannian manifolds of signature (2,n) and the para-quaternionic-Kahlerian manifolds with non-zero scalar curvature are considered. Einstein not Ricci-flat metrics of signature (2,n) with all possible holonomy algebras are given. |