Riemannian foliation with exotic tori as leaves
Algebraic Topology
2019-07-03 v2 Differential Geometry
Abstract
We construct smooth fiber bundles such that the fibers are exotic tori and the total space has finite abelian fundamental group. This gives examples of a Riemannian foliation on a closed manifold whose leaves are exotic tori and whose total space has finite abelian fundamental group.
Keywords
Cite
@article{arxiv.1809.09000,
title = {Riemannian foliation with exotic tori as leaves},
author = {F. Thomas Farrell and Xiaolei Wu},
journal= {arXiv preprint arXiv:1809.09000},
year = {2019}
}
Comments
Fixes a small gap in the last section, some other Minor changes. To appear in Bulletin of the London Mathematical Society