Abstract
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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
–manifolds
with infinite fundamental group. Furthermore, we prove some results concerning
the behavior of a uniform foliation with Reeb components on general
–manifolds.
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Keywords
foliations, 3–manifolds, Reeb components
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Mathematical Subject Classification
Primary: 57R30
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Publication
Received: 8 December 2021
Revised: 25 April 2022
Accepted: 8 June 2022
Published: 23 November 2023
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| © 2023 MSP (Mathematical Sciences
Publishers). Distributed under the Creative Commons
Attribution License 4.0 (CC BY). |
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