On the Einstein equation on Lorentzian manifolds with parallel distributions of isotropic lines
| Authors | |
|---|---|
| Year of publication | 2010 |
| Type | Article in Proceedings |
| Conference | RELATIVITY, GRAVITY and GEOMETRY. Petrov 2010 Anniversary Symposium on General Relativity and Gravitation. Contributed Papers. Kazan, 1–6 November, 2010 |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | Einstein Lorentzian manifold; special holonomy |
| Description | Some recent results about Einstein Lorentzian manifolds that admit parallel distributions of isotropic lines are reviewed. All holonomy algebras of such manifolds are found. Special coordinates that allow to simplify the Einstein equation are described. Examples in dimension 4 are considered. |
| Related projects: |