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VOL. 13 | 2012 Some Applications of the Lorentzian Holonomy Algebras
Anton Galaev

Editor(s) Ivaïlo M. Mladenov, Andrei Ludu, Akira Yoshioka

Abstract

It is shown how one can apply the classification of the holonomy algebras of Lorentzian manifolds to solve some problems. In particular, a new proof to the classification of Lorentzian manifolds with recurrent curvature tensor is given and the classification of two-symmetric Lorentzian manifolds is explained. Then the conformally recurrent Lorentzian manifolds are classified and the recurrent symmetric bilinear forms on these manifolds are described.

Information

Published: 1 January 2012
First available in Project Euclid: 13 July 2015

zbMATH: 1382.53016
MathSciNet: MR3087968

Digital Object Identifier: 10.7546/giq-13-2012-132-149

Rights: Copyright © 2012 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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