Lightlike foliations on Lorentzian manifolds with weakly irreducible holonomy algebra

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dc.creatorBezvitnaya, Natalia
dc.date2005-06-06
dc.date.accessioned2026-07-07T05:20:33Z
dc.date.available2026-07-07T05:20:33Z
dc.descriptionWe study the lightlike foliations that appear on Lorentzian manifolds with weakly irreducible not irreducible holonomy algebra. We give global structure equations for the foliation that generalize the Gauss and Weingarten equations for one lightlike hypersurface. This gives us some global operators on the manifold. Using these operators, we decompose the curvature tensor of the manifold into several components. We give a criteria how to find the type of the holonomy algebras (there are 4 possible types) in terms of the global operators.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0506101
dc.identifierhttp://arxiv.org/abs/math/0506101
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75418
dc.subjectDifferential Geometry
dc.subject53C12, 53C29, 53C50
dc.titleLightlike foliations on Lorentzian manifolds with weakly irreducible holonomy algebra
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