Distortion of leaves in product foliations
Geometric Topology
2007-05-23 v1
Abstract
We produce examples of codimension one foliations of the Euclidean and hyperbolic planes with bounded geometry which are topologically products, but for which leaves are non-recursively distorted. That is, the function which compares intrinsic distances in leaves with extrinsic distances in the ambient space grows faster than any recursive function.
Cite
@article{arxiv.math/0002196,
title = {Distortion of leaves in product foliations},
author = {Danny Calegari},
journal= {arXiv preprint arXiv:math/0002196},
year = {2007}
}
Comments
5 pages