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Distortion of leaves in product foliations

2000/02/23 by Danny Calegari
Mathematics · #math.GT

paper · pdf

published as Top. Appl. 124 (2002), no.2, 205-209 · 5 pages

arxiv created 2000/02/23 · arxiv updated 2009/11/30

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.

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