Sobolev mappings: Lipschitz density is not a bi-Lipschitz invariant of the target
Functional Analysis
2011-09-22 v1
Abstract
We study a question of density of Lipschitz mappings in the Sobolev class of mappings from a closed manifold into a singular space. The main result of the paper shows that if we change the metric in the target space to a bi-Lipschitz equivalent one, than the property of the density of Lipschitz mappings may be lost.
Cite
@article{arxiv.math/0602029,
title = {Sobolev mappings: Lipschitz density is not a bi-Lipschitz invariant of the target},
author = {Piotr Hajlasz},
journal= {arXiv preprint arXiv:math/0602029},
year = {2011}
}
Comments
To appear in Geom. Funct. Anal. (GAFA)