On BLD-mappings with small distortion
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
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Complex Analysis and its SynergiesDate
2021Copyright
© The Author(s), under exclusive licence to Springer Nature Switzerland AG part of Springer Nature 2021
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.
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Research Council of Finland; European CommissionFunding program(s)
Academy Research Fellow, AoF; Postdoctoral Researcher, AoF; ERC Starting Grant
The content of the publication reflects only the author’s view. The funder is not responsible for any use that may be made of the information it contains.
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’)License
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