Manifolds that are not leaves of codimension one foliations
Geometric Topology
2012-09-19 v3 Differential Geometry
Abstract
We present new open manifolds that are not homeomorphic to leaves of any C^0 codimension one foliation of a compact manifold. Among them are simply connected manifolds of dimension 5 or greater that are non-periodic in homotopy or homology, namely in their 2-dimensional homotopy or homology groups.
Cite
@article{arxiv.1111.2766,
title = {Manifolds that are not leaves of codimension one foliations},
author = {Fábio S. Souza and Paul A. Schweitzer and S. J.},
journal= {arXiv preprint arXiv:1111.2766},
year = {2012}
}
Comments
16 pages with 2 figures. This new version gives stronger results for codimension one non-leaves