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About the classification of the holonomy algebras of lorentzian manifolds

✍ 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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πŸ“œ SIMILAR VOLUMES


On the spectrum of holonomy algebras
✍ Maria Cristina Abbati; Alessandro ManiΓ  πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 151 KB

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

The introduction of Bochner’s technique
✍ Alfonso Romero πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 713 KB

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