About the classification of the holonomy algebras of lorentzian manifolds
β Scribed by Galaev, A. S.
- Book ID
- 121611974
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2013
- Tongue
- English
- Weight
- 171 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0037-4466
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π SIMILAR VOLUMES
Connections on a trivial bundle M Γ G can be identified with their holonomy maps, i.e. with homomorphisms of a groupoid of paths in M into the gauge group G. For a connected compact G, various algebras depending on the set A of the smooth connections through their holonomy maps have been introduced
Bochner's technique is applied to the study of timelike vectors fields on a Lorentzian manifold. In the compact case, a Lorentzian Bochner integral formula is obtained. As a consequence, compact Ricci flat Lorentzian manifolds admitting a timelike conformal vector field are classified. Both in the c