Unwinding spirals
Geometric Topology
2016-03-11 v1 Metric Geometry
Abstract
We show that there is no bi-Lipschitz homeomorphism of that maps a spiral with a sub-exponential decay of winding radii to an unwinded arc. This result is sharp as shows an example of a logarithmic spiral.
Cite
@article{arxiv.1603.03145,
title = {Unwinding spirals},
author = {Alexander Fish and Laurentiu Paunescu},
journal= {arXiv preprint arXiv:1603.03145},
year = {2016}
}
Comments
8 pages, 2 figures