Holonomy groups of Lorentzian manifolds: classification, examples, and applications
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F08%3A00050991" target="_blank" >RIV/00216224:14310/08:00050991 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.4171/051" target="_blank" >http://dx.doi.org/10.4171/051</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4171/051" target="_blank" >10.4171/051</a>
Alternative languages
Result language
angličtina
Original language name
Holonomy groups of Lorentzian manifolds: classification, examples, and applications
Original language description
We review recent developments in the theory of Lorentzian holonomy groups focussing on the classification results. We present the list of indecomposable, nonirreducible Lorentzian holonomy groups, explain the idea of its proof, and describe a method of constructing metrics which realise all the possible groups. This method is then used to construct many examples of metrics. Finally, we give some applications for the existence of parallel spinors and a short outlook on other signatures. As a new result we obtain the holonomy classification for indecomposable, non-irreducible Lorentzian Einstein spaces.
Czech name
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Czech description
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Classification
Type
C - Chapter in a specialist book
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
V - Vyzkumna aktivita podporovana z jinych verejnych zdroju
Others
Publication year
2008
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Book/collection name
Recent developments in pseudo-Riemannian geometry
ISBN
978-3-03719-051-7
Number of pages of the result
45
Pages from-to
53-97
Number of pages of the book
538
Publisher name
European Mathematical Society
Place of publication
Vienna, Austria
UT code for WoS chapter
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