Geodesic
Uniform foliations with Reeb components
Lema, Joaquín1
1 Centro de Matemática, UdelaR, Montevideo, Uruguay
Algebraic and Geometric Topology, Tome 23 (2023) no. 9, pp. 4379-4400

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/agt.2023.23.4379
Keywords: foliations, 3–manifolds, Reeb components

Lema, Joaquín 1

1 Centro de Matemática, UdelaR, Montevideo, Uruguay 
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Lema, Joaquín. Uniform foliations with Reeb components. Algebraic and Geometric Topology, Tome 23 (2023) no. 9, pp. 4379-4400. doi: 10.2140/agt.2023.23.4379

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