Pseudo-Riemannian manifolds with recurrent spinor fields
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F13%3A50001549" target="_blank" >RIV/62690094:18470/13:50001549 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1134/S0037446613040034" target="_blank" >http://dx.doi.org/10.1134/S0037446613040034</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1134/S0037446613040034" target="_blank" >10.1134/S0037446613040034</a>
Alternative languages
Result language
angličtina
Original language name
Pseudo-Riemannian manifolds with recurrent spinor fields
Original language description
The existence of a recurrent spinor field on a pseudo-Riemannian spin manifold (M,g) is closely related to the existence of a parallel 1-dimensional complex subbundle of the spinor bundle of (M,g). We characterize the following simply connected pseudo-Riemannian manifolds that admit these subbundles in terms of their holonomy algebras: Riemannian manifolds, Lorentzian manifolds, pseudo-Riemannian manifolds with irreducible holonomy algebras, and pseudo-Riemannian manifolds of neutral signature admittingtwo complementary parallel isotropic distributions.
Czech name
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Czech description
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Classification
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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Result continuities
Project
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Continuities
V - Vyzkumna aktivita podporovana z jinych verejnych zdroju
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Siberian mathematical journal
ISSN
0037-4466
e-ISSN
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Volume of the periodical
54
Issue of the periodical within the volume
4
Country of publishing house
US - UNITED STATES
Number of pages
10
Pages from-to
604-613
UT code for WoS article
000323742800003
EID of the result in the Scopus database
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