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https://hdl.handle.net/2440/24110
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DC Field | Value | Language |
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dc.contributor.author | Leistner, T. | - |
dc.date.issued | 2006 | - |
dc.identifier.citation | Differential Geometry and Its Applications, 2006; 24(5):458-478 | - |
dc.identifier.issn | 0926-2245 | - |
dc.identifier.uri | http://hdl.handle.net/2440/24110 | - |
dc.description.abstract | The 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.language.iso | en | - |
dc.publisher | Elsevier Science BV | - |
dc.source.uri | http://dx.doi.org/10.1016/j.difgeo.2006.04.008 | - |
dc.subject | holonomy groups | - |
dc.subject | conformal holonomy | - |
dc.subject | C-spaces | - |
dc.subject | Lorentzian manifolds | - |
dc.subject | plane waves | - |
dc.title | Conformal holonomy of C-spaces, Ricci-flat, and Lorentzian manifolds | - |
dc.type | Journal article | - |
dc.identifier.doi | 10.1016/j.difgeo.2006.04.008 | - |
pubs.publication-status | Published | - |
dc.identifier.orcid | Leistner, T. [0000-0002-8837-5215] | - |
Appears in Collections: | Aurora harvest 6 Pure Mathematics publications |
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