Distortion of leaves in product foliations

Details Distortion of leaves in product foliations Distortion of leaves in product foliations

2000-02-23

arxiv.org/abs/math/0002196v1

Top. Appl. 124 (2002), no.2, 205-209

Mathematics

Geometric Topology

5 pages

Scientific paper

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.

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