6533b829fe1ef96bd12899e2

RESEARCH PRODUCT

On BLD-mappings with small distortion

Ville TengvallRami LuistoAapo Kauranen

subject

Pure mathematicsPartial differential equationFunctional analysisMathematics - Complex VariablesLocal homeomorphismBLD-mappings010102 general mathematicsbranch setA domain30C65 57M12 30L10quasiregular mappingsMetric Geometry (math.MG)General MedicineAlgebraic geometry01 natural scienceslocal homeomorphismMathematics::Geometric TopologyDistortion (mathematics)010104 statistics & probabilityMathematics - Metric Geometry111 MathematicsFOS: Mathematics0101 mathematicsComplex Variables (math.CV)Mathematics

description

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

yearjournalcountryeditionlanguage
2021-02-26
http://arxiv.org/abs/1909.08860