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dc.contributor.authorLeistner, T.-
dc.identifier.citationDifferential Geometry and Its Applications, 2006; 24(5):458-478-
dc.description.abstractThe main result of this paper is that a Lorentzian manifold is locally conformally equivalent to a manifold with recurrent lightlike vector field and totally isotropic Ricci tensor if and only if its conformal tractor holonomy admits a 2-dimensional totally isotropic invariant subspace. Furthermore, for semi-Riemannian manifolds of arbitrary signature we prove that the conformal holonomy algebra of a C-space is a Berger algebra. For Ricci-flat spaces we show how the conformal holonomy can be obtained by the holonomy of the ambient metric and get results for Riemannian manifolds and plane waves. © 2006 Elsevier B.V. All rights reserved.-
dc.publisherElsevier Science BV-
dc.subjectholonomy groups-
dc.subjectconformal holonomy-
dc.subjectLorentzian manifolds-
dc.subjectplane waves-
dc.titleConformal holonomy of C-spaces, Ricci-flat, and Lorentzian manifolds-
dc.typeJournal article-
dc.identifier.orcidLeistner, T. [0000-0002-8837-5215]-
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Pure Mathematics publications

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