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EnglishLocally homogeneous Lorentzian three-manifolds with recurrect curvature are special examples of Walker manifolds, that is, they admit a parallel null vector field. We obtain a full classification of the symmetries of these spaces, with particular regard to symmetries related to their curvature: Ricci and matter collineations, curvature and Weyl collineations. Several results are given for the broader class of three-dimensional Walker manifolds.
| Titolo: | Symmetries of Lorentzian Three-Manifolds with Recurrent Curvature |
| Autori: | |
| Data di pubblicazione: | 2016 |
| Rivista: | |
| Abstract: | Locally homogeneous Lorentzian three-manifolds with recurrect curvature are special examples of Walker manifolds, that is, they admit a parallel null vector field. We obtain a full classification of the symmetries of these spaces, with particular regard to symmetries related to their curvature: Ricci and matter collineations, curvature and Weyl collineations. Several results are given for the broader class of three-dimensional Walker manifolds. |
| Handle: | http://hdl.handle.net/11587/409159 |
| Appare nelle tipologie: | Articolo pubblicato su Rivista |
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