About the classification of the holonomy algebras of lorentzian manifolds

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F13%3A50001669" target="_blank" >RIV/62690094:18470/13:50001669 - isvavai.cz</a>
Result on the web
<a href="http://link.springer.com/article/10.1134/S0037446613050042" target="_blank" >http://link.springer.com/article/10.1134/S0037446613050042</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1134/S0037446613050042" target="_blank" >10.1134/S0037446613050042</a>

Result language
angličtina
Original language name
About the classification of the holonomy algebras of lorentzian manifolds
Original language description
The classification of the holonomy algebras of Lorentzian manifolds can be reduced to the classification of the irreducible subalgebras h in so(n) that are spanned by the images of linear maps from n-dimensional Euclidean space to h satisfying some identity similar to the Bianchi identity. Leistner found all these subalgebras and it turned out that the obtained list coincides with the list of irreducible holonomy algebras of Riemannian manifolds. The natural problem is to give a simple direct proof of this fact. We give such a proof for the case of semisimple not simple Lie algebras h.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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