Conformally flat Lorentzian manifolds with special holonomy groups
arXiv:1011.3977 · doi:10.1070/SM2013v204n09ABEH004339
Abstract
The local classification of conformally flat Lorentzian manifolds with special holonomy groups is obtained. The corresponding local metrics are certain extensions of Riemannian spaces of constant sectional curvature to Walker metrics.
The final version
References in corpus (5)
- Ambient metrics for -dimensional -waves
- Two-symmetric Lorentzian manifolds
- Time-Dependent Multi-Centre Solutions from New Metrics with Holonomy Sim(n-2)
- On the local structure of Lorentzian Einstein manifolds with parallel distribution of null lines
- One component of the curvature tensor of a Lorentzian manifold