A new characterization of the mappings of bounded length distortion
Metric Geometry
2015-03-17 v2
Abstract
In this paper, we present a new characterization of the mappings of bounded length distortion (BLD for short). In the original geometric definition it is assumed that a BLD mapping is open, discrete and sense preserving. We prove that the first two of the three conditions are redundant and the sense-preserving condition can be replaced by a weaker assumption that the Jacobian is non-negative.
Keywords
Cite
@article{arxiv.1501.01026,
title = {A new characterization of the mappings of bounded length distortion},
author = {Piotr Hajłasz and Soheil Malekzadeh},
journal= {arXiv preprint arXiv:1501.01026},
year = {2015}
}