How to Find the Holonomy Algebra of a Lorentzian Manifold

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F15%3A50003367" target="_blank" >RIV/62690094:18470/15:50003367 - isvavai.cz</a>
Result on the web
<a href="http://link.springer.com/article/10.1007%2Fs11005-014-0741-y" target="_blank" >http://link.springer.com/article/10.1007%2Fs11005-014-0741-y</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11005-014-0741-y" target="_blank" >10.1007/s11005-014-0741-y</a>

Result language
angličtina
Original language name
How to Find the Holonomy Algebra of a Lorentzian Manifold
Original language description
Manifolds with exceptional holonomy play an important role in string theory, supergravity and M-theory. It is explained how one can find the holonomy algebra of an arbitrary Riemannian or Lorentzian manifold. Using the de Rham and Wu decompositions, thisproblem is reduced to the case of locally indecomposable manifolds. In the case of locally indecomposable Riemannian manifolds, it is known that the holonomy algebra can be found from the analysis of special geometric structures on the manifold. If theholonomy algebra of a locally indecomposable Lorentzian manifold (M, g) of dimension n is different from , then it is contained in the similitude algebra . There are four types of such holonomy algebras. Criterion to find the type of is given, and special geometric structures corresponding to each type are described. To each there is a canonically associated subalgebra . An algorithm to find is provided.
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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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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