On BLD-mappings with small distortion
Abstract
We show that every L-BLD-mapping in a domain of Rn is a local homeomorphism if L<2–√ or KI(f)<2. These bounds are sharp as shown by a winding map.
Main Authors
Format
Articles
Research article
Published
2021
Series
Subjects
Publication in research information system
Publisher
Springer
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-202112206015Käytä tätä linkitykseen.
Review status
Peer reviewed
ISSN
2524-7581
DOI
https://doi.org/10.1007/s40627-021-00067-y
Language
English
Published in
Complex Analysis and its Synergies
Citation
- Kauranen, A., Luisto, R., & Tengvall, V. (2021). On BLD-mappings with small distortion. Complex Analysis and its Synergies, 7(1), Article 5. https://doi.org/10.1007/s40627-021-00067-y
License
Funder(s)
Research Council of Finland
Research Council of Finland
European Commission
Funding program(s)
Academy Research Fellow, AoF
Postdoctoral Researcher, AoF
ERC Starting Grant
Akatemiatutkija, SA
Tutkijatohtori, SA
ERC Starting Grant
Additional information about funding
A.K. acknowledges the support of Academy of Finland, Grant Number 322441 The research of V.T. was supported by the Academy of Finland, Project Number 308759. R.L. was partially supported by the Academy of Finland (grant 288501 ‘Geometry of subRiemannian groups’) and by the European Research Council (ERC Starting Grant 713998 GeoMeG ‘Geometry of Metric Groups’)
Copyright© The Author(s), under exclusive licence to Springer Nature Switzerland AG part of Springer Nature 2021