Uniform foliations with Reeb components
Geometric Topology
2023-11-29 v2
Abstract
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.
Keywords
Cite
@article{arxiv.2112.04053,
title = {Uniform foliations with Reeb components},
author = {Joaquín Lema},
journal= {arXiv preprint arXiv:2112.04053},
year = {2023}
}
Comments
13 pages, 7 figures; minor corrections suggested by the referee