Some applications of the Lorentzian holonomy algebras
| Autoři | |
|---|---|
| Rok publikování | 2012 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | Journal of Geometry and Symmetry in Physics |
| Fakulta / Pracoviště MU | |
| Citace | |
| www | http://www.bio21.bas.bg/jgsp/jgsp_files/vol26/volume26cont.html |
| Obor | Obecná matematika |
| Klíčová slova | Lorentzian manifold; holonomy algebra; recurrent Weyl tensor |
| Popis | It is shown how one can apply the classification of the holonomy algebras of Lorentzian manifolds to solve some problems. In particular, a new proof to the classification of Lorentzian manifolds with recurrent curvature tensor is given and the classification of two-symmetric Lorentzian manifolds is explained. Then the conformally recurrent Lorentzian manifolds are classified and the recurrent symmetric bilinear forms on these manifolds are described. |
| Související projekty: |