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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.
Nous construisons un feuilletage exotique de classe sur tout fibré hyperbolique de genre . Nous montrons égalemnt des théorèmes de rigidité des feuilletages modèles sur certains fibrés pseudo-Anosov.
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