Codimension one minimal foliations and the fundamental groups of leaves  [ Feuilletages minimaux de codimension un et les groupes fondamentaux des feuilles ]
Annales de l'Institut Fourier, Tome 58 (2008) no. 2, p. 723-731
Soit ℱ un feuilletage minimal de codimension un transversalement orientable, transversalement analytique réel sur une variété M paracompacte. On démontre que le feuilletage ℱ est sans holonomie si le groupe fondamental de toute la feuille de ℱ est isomorphe à Z. On démontre aussi que le feuilletage ℱ est sans holonomie si le groupe d’homotopie π 2 (M)≅0 et que le groupe fondamental de toute la feuille de ℱ est isomorphe à Z k (k∈Z ≥0 ).
Let ℱ be a transversely orientable transversely real-analytic codimension one minimal foliation of a paracompact manifold M. We show that if the fundamental group of each leaf of ℱ is isomorphic to Z, then ℱ is without holonomy. We also show that if π 2 (M)≅0 and the fundamental group of each leaf of ℱ is isomorphic to Z k (k∈Z ≥0 ), then ℱ is without holonomy.
DOI : https://doi.org/10.5802/aif.2366
Classification:  57R30,  53C12
Mots clés: feuilletages, analytique réel, holonomie, groupes fondamentaux des feulles 
@article{AIF_2008__58_2_723_0,
     author = {Yokoyama, Tomoo and Tsuboi, Takashi},
     title = {Codimension one minimal foliations and the fundamental groups of leaves},
     journal = {Annales de l'Institut Fourier},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {58},
     number = {2},
     year = {2008},
     pages = {723-731},
     doi = {10.5802/aif.2366},
     mrnumber = {2410388},
     zbl = {1148.53017},
     language = {en},
     url = {http://www.numdam.org/item/AIF_2008__58_2_723_0}
}

Yokoyama, Tomoo; Tsuboi, Takashi. Codimension one minimal foliations and the fundamental groups of leaves. Annales de l'Institut Fourier, Tome 58 (2008) no. 2, pp. 723-731. doi : 10.5802/aif.2366. http://www.numdam.org/item/AIF_2008__58_2_723_0/

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