Geodesic
On coordinate vector-functions of quasiregular mappings
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 768-772

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Let $f:R^n \to R^n=R^k\times R^{n-k}$ ($1\leq k\leq n-1$) be a $K$-quasiregular mapping and $\pi: R^n\to R^k$ denotes the canonical projection. Then we obtain a lower estimate for the distortion of the values of generalized angles in $R^k$ under the multy-valued function $F=f^{-1}\circ \pi^{-1}: R^k \to R^n$. This estimate is Möbius invariant and depends only on $K$ and $n$.
Keywords: quasiregular map, conformal capacity of condenser, Teichmüller's ring, generalized angle, mapping of bounded angular distortion. 
@article{SEMR_2018_15_a128,
     author = {V. V. Aseev},
     title = {On coordinate vector-functions of quasiregular mappings},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {768--772},
     publisher = {mathdoc},
     volume = {15},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2018_15_a128/}
}
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V. V. Aseev. On coordinate vector-functions of quasiregular mappings. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 768-772. http://geodesic.mathdoc.fr/item/SEMR_2018_15_a128/