On Geometry of Flat Complete Strictly Causal Lorentzian Manifolds

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dc.creatorGichev, V. M.
dc.creatorMeshcheryakov, E. A.
dc.date2005-09-13
dc.date2007-04-05
dc.date.accessioned2026-07-07T07:54:54Z
dc.date.available2026-07-07T07:54:54Z
dc.descriptionA flat complete causal Lorentzian manifold is called {\it strictly causal} if the past and the future of each its point are closed near this point. We consider strictly causal manifolds with unipotent holonomy groups and assign to a manifold of this type four nonnegative integers (a signature) and a parabola in the cone of positive definite matrices. Two manifolds are equivalent if and only if their signatures coincides and the corresponding parabolas are equal (up to a suitable automorphism of the cone and an affine change of variable). Also, we give necessary and sufficient conditions, which distinguish parabolas of this type among all parabolas in the cone.
dc.descriptionThe exposition is revised (no essential change in the content). The paper is published
dc.identifierhttps://arxiv.org/abs/math/0509287
dc.identifierhttp://arxiv.org/abs/math/0509287
dc.identifierSiberian Math. J., v. 48, no. 1, pp. 62-72, 2007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126790
dc.subjectMetric Geometry
dc.subjectGeometric Topology
dc.subject53C30
dc.titleOn Geometry of Flat Complete Strictly Causal Lorentzian Manifolds
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