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.
@article{1270067486,
author = {Dather, Hamidou},
title = {Sur les feuilletages tendus transversalement affines des
3-vari\'et\'es fibr\'ees sur $S^{1}$},
journal = {Afr. Diaspora J. Math. (N.S.)},
volume = {9},
number = {2},
year = {2009},
pages = { 17-33},
language = {fr},
url = {http://dml.mathdoc.fr/item/1270067486}
}
Dather, Hamidou. Sur les feuilletages tendus transversalement affines des
3-variétés fibrées sur $S^{1}$. Afr. Diaspora J. Math. (N.S.), Tome 9 (2009) no. 2, pp. 17-33. http://gdmltest.u-ga.fr/item/1270067486/