Feuilletages totalement géodésiques, flots riemanniens et variétés de Seifert
Mounoud, Pierre
Annales de l'Institut Fourier, Tome 55 (2005), p. 1411-1438 / Harvested from Numdam
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Nous étudions les feuilletages lisses totalement géodésiques de codimension 1 des variétés lorentziennes. Nous nous intéressons notamment aux relations entre les flots riemanniens et les feuilletages géodésiques. Nous prouvons que, quitte à prendre un revêtement d’ordre 2, tout fibré de Seifert possède un tel feuilletage.

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

Publié le : 2005-01-01
DOI : https://doi.org/10.5802/aif.2128
Classification:  57R30,  53C50
Mots clés: feuilletages totalement géodésiques, flots riemanniens 
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     author = {Mounoud, Pierre},
     title = {Feuilletages totalement g\'eod\'esiques, flots riemanniens et vari\'et\'es de Seifert},
     journal = {Annales de l'Institut Fourier},
     volume = {55},
     year = {2005},
     pages = {1411-1438},
     doi = {10.5802/aif.2128},
     mrnumber = {2157171},
     zbl = {1080.53024},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/AIF_2005__55_4_1411_0}
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Mounoud, Pierre. Feuilletages totalement géodésiques, flots riemanniens et variétés de Seifert. Annales de l'Institut Fourier, Tome 55 (2005) pp. 1411-1438. doi : 10.5802/aif.2128. http://gdmltest.u-ga.fr/item/AIF_2005__55_4_1411_0/

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