Feuilletages totalement géodésiques, flots riemanniens et variétés de Seifert  [ Totally geodesic foliations, riemannian flows and Seifert manifolds ]
Annales de l'Institut Fourier, Volume 55 (2005) no. 4, p. 1411-1438

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.

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.

DOI : https://doi.org/10.5802/aif.2128
Classification:  57R30,  53C50
Keywords: Totally geodesic foliations, riemannian flows 
@article{AIF_2005__55_4_1411_0,
     author = {Mounoud, Pierre},
     title = {Feuilletages totalement g\'eod\'esiques, flots riemanniens et vari\'et\'es de Seifert},
     journal = {Annales de l'Institut Fourier},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {55},
     number = {4},
     year = {2005},
     pages = {1411-1438},
     doi = {10.5802/aif.2128},
     zbl = {1080.53024},
     mrnumber = {2157171},
     language = {fr},
     url = {http://www.numdam.org/item/AIF_2005__55_4_1411_0}
}

Mounoud, Pierre. Feuilletages totalement géodésiques, flots riemanniens et variétés de Seifert. Annales de l'Institut Fourier, Volume 55 (2005) no. 4, pp. 1411-1438. doi : 10.5802/aif.2128. http://www.numdam.org/item/AIF_2005__55_4_1411_0/

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