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arxiv: math/0406346 · v1 · submitted 2004-06-17 · 🧮 math.DG

Feuilletages totalement geodesiques, flots riemanniens et varietes de Seifert

classification 🧮 math.DG
keywords foliationsgeodesicseifertadmitbundlecodimensioncoverfeuilletages
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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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