A note on open 3-manifolds supporting foliations by planes
| dc.creator | Maquera, Carlos | |
| dc.creator | Biasi, Carlos | |
| dc.date | 2009-05-27 | |
| dc.date.accessioned | 2026-07-07T13:18:44Z | |
| dc.date.available | 2026-07-07T13:18:44Z | |
| dc.description | We show that if $N$, an open connected $n$-manifold with finitely generated fundamental group, is $C^{2}$ foliated by closed planes, then $π_{1}(N)$ is a free group. This implies that if $π_{1}(N)$ has an Abelian subgroup of rank greater than one, then $\mathcal{F}$ has at least a non closed leaf. Next, we show that if $N$ is three dimensional with fundamental group abelian of rank greater than one, then $N$ is homeomorphic to $\mathbb{T}^2\times \mathbb{R}.$ Furthermore, in this case we give a complete description of the foliation. | |
| dc.identifier | https://arxiv.org/abs/0905.4526 | |
| dc.identifier | http://arxiv.org/abs/0905.4526 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/231520 | |
| dc.subject | Geometric Topology | |
| dc.subject | Algebraic Topology | |
| dc.title | A note on open 3-manifolds supporting foliations by planes | |
| dc.type | text |