English

On BLD-mappings with small distortion

Metric Geometry 2020-02-13 v2 Complex Variables

Abstract

We show that every LL-BLD-mapping in a domain of Rn\mathbb{R}^n is a local homeomorphism if L<2L < \sqrt{2} or KI(f)<2K_I(f) < 2. These bounds are sharp as shown by a winding map.

Keywords

Cite

@article{arxiv.1909.08860,
  title  = {On BLD-mappings with small distortion},
  author = {Aapo Kauranen and Rami Luisto and Ville Tengvall},
  journal= {arXiv preprint arXiv:1909.08860},
  year   = {2020}
}
R2 v1 2026-06-23T11:19:59.940Z