Riemannian foliation with exotic tori as leaves

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.

Fixes a small gap in the last section, some other Minor changes. To appear in Bulletin of the London Mathematical Society