Feuilletages totalement geodesiques, flots riemanniens et varietes de Seifert

Mathematics – Differential Geometry

Scientific paper

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18 pages, in french

Scientific paper

We study totally geodesic codimension 1 smooth foliations on Lorentzian
manifold. We are in particular interested by the relations between riemannian
flows and geodesic foliations. We prove that, up to a 2-cover, any Seifert
bundle admit such a foliation.

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