Distortion of leaves in product foliations

Danny Calegari

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Distortion of leaves in product foliations

Danny Calegari

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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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BibTeX RIS

Danny Calegari. 2000-02-23. Distortion of leaves in product foliations. https://arxiv.org/abs/math/0002196

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