Joaquín Lema
Published 2021-12-08, updated 2022-06-13Version 2
A foliation on a compact manifold is uniform if each pair of leaves of the induced foliation on the universal cover are at finite Hausdorff distance from each other. We study uniform foliations with Reeb components. We give examples of such foliations on a family of closed $3-$manifolds with infinite fundamental group. Furthermore, we prove some results concerning the behavior of a uniform foliation with Reeb components on general $3-$manifolds.
Comments: 13 pages, 7 figures; minor corrections suggested by the referee
The universal cover of 3-manifolds built from injective handlebodies is $\mathbb R^3$
Reeb components of leafwise complex foliations and their symmetries I
Cellular chain complexes of universal covers of some 3-manifolds
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