Feuilletages conformes
Tarquini, Cédric
Annales de l'Institut Fourier, Tome 54 (2004), p. 453-480 / Harvested from Numdam

Dans cet article nous montrons que tout feuilletage conforme, transversalement analytique, de codimension supérieure ou égale à trois sur une variété compacte connexe est transversalement Möbius ou riemannien. Ce théorème peut être vu comme une généralisation, transversalement à un feuilletage, du théorème Ferrand-Obata.

In this article we prove that every conformal foliation, transversely analytic, of codimension at most three on a compact connected manifold is either transversely Möbius or Riemannian. This theorem can be seen as a generalisation of the Ferrand-Obata theorem transversely to a foliation.

Publié le : 2004-01-01
DOI : https://doi.org/10.5802/aif.2025
Classification:  53C12,  58H05,  53A20
Mots clés: feuilletages, pseudogroupes, géométrie différentielle conforme.
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     author = {Tarquini, C\'edric},
     title = {Feuilletages conformes},
     journal = {Annales de l'Institut Fourier},
     volume = {54},
     year = {2004},
     pages = {453-480},
     doi = {10.5802/aif.2025},
     zbl = {1064.53014},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/AIF_2004__54_2_453_0}
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Tarquini, Cédric. Feuilletages conformes. Annales de l'Institut Fourier, Tome 54 (2004) pp. 453-480. doi : 10.5802/aif.2025. http://gdmltest.u-ga.fr/item/AIF_2004__54_2_453_0/

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