Separated nets in Euclidean space and Jacobians of biLipschitz maps
dg-ga
2008-02-03 v1 Differential Geometry
Metric Geometry
Abstract
We show that there are separated nets in the Euclidean plane which are not biLipschitz equivalent to the integer lattice. The argument is based on the construction of a continuous function which is not the Jacobian of a biLipschitz map.
Cite
@article{arxiv.dg-ga/9703022,
title = {Separated nets in Euclidean space and Jacobians of biLipschitz maps},
author = {Dmitri Burago and Bruce Kleiner},
journal= {arXiv preprint arXiv:dg-ga/9703022},
year = {2008}
}
Comments
LaTeX2e file, 6 pages