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Sur les feuilletages tendus transversalement affines des 3-variétés fibrées sur ${\bf S^{1}}$

Volume 9, Number 2 (2010), 17 - 33

Sur les feuilletages tendus transversalement affines des 3-variétés fibrées sur ${\bf S^{1}}$

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Abstract

We build some examples of taut transversely affine foliations on some closed manifolds which are surface bundles over the circle. These examples illustrate how such foliations can be various. Under some restrictive hypothesis Nakayama describes in [5] such foliations which have no compact leaf. We extend Nakayama's theorem for transversely affine foliations without Reeb component. Also we give an example among these transversely affine foliations without non-trivial transversely projective deformation.