no. 2
Feuilletages conformes
Tarquini, Cédric1
1 U.M.P.A., École Normale Supérieure de Lyon, allée d'Italie, 69364 Lyon cedex 07 (France)
Annales de l'Institut Fourier, Tome 54 (2004) no. 2, pp. 453-480.

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.

DOI : 10.5802/aif.2025
Classification : 53C12, 58H05, 53A20
Mot clés : feuilletages, pseudogroupes, géométrie différentielle conforme.
Keywords: foliations, pseudogroups, conformal differential geometry.
Tarquini, Cédric 1

1 U.M.P.A., École Normale Supérieure de Lyon, allée d'Italie, 69364 Lyon cedex 07 (France) 
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Tarquini, Cédric. Feuilletages conformes. Annales de l'Institut Fourier, Tome 54 (2004) no. 2, pp. 453-480. doi : 10.5802/aif.2025. http://archive.numdam.org/articles/10.5802/aif.2025/

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