On flat complete causal Lorentzian manifolds

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dc.creatorGichev, V. M.
dc.creatorMorozov, O. S.
dc.date2005-08-31
dc.date.accessioned2026-07-07T06:24:19Z
dc.date.available2026-07-07T06:24:19Z
dc.descriptionWe describe up to finite coverings causal flat affine complete Lorentzian manifolds such that the past and the future of any point are closed near this point. We say that these manifolds are strictly causal. In particular, we prove that their fundamental groups are virtually abelian. In dimension 4, there is only one, up to a scaling factor, strictly causal manifold which is not globally hyperbolic. For a generic point of this manifold, either the past or the future is not closed and contains a lightlike straight line.
dc.descriptionTo appear in Geometriae Dedicata
dc.identifierhttps://arxiv.org/abs/math/0508633
dc.identifierhttp://arxiv.org/abs/math/0508633
dc.identifierGeometriae Dedicata, 116 (2005), 37-59
dc.identifierdoi:10.1007/s10711-005-7574-x
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96504
dc.subjectMetric Geometry
dc.subjectDifferential Geometry
dc.subject53C50
dc.titleOn flat complete causal Lorentzian manifolds
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