Geodesic
Anharmonic ratio and the minimal criteria for Möbius property
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 12 (2012) no. 1, pp. 14-28
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We give some criteria for Möbius property of a homeomorphism of domains in $\bar R^n$ which preserves fixed anharmonic ratio $\lambda\neq0,1,\infty$. For the case of even-dimensional space as well as for the case of real $\lambda$ the requirement of a map to be homeomorphism in the theorem can be replaced by injectivity and Borel measurability. For a homeomorphism which slightly changes fixed cross-ratio we get the upper estimates for it's coefficient of quasiconformality.
Keywords: anharmonic ratio, geometric criteria of Möbius property, quasiconformal mapping
Mots-clés : Möbius mapping, coefficient of quasiconformality. 
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V. V. Aseev; T. A. Kergilova. Anharmonic ratio and the minimal criteria for Möbius property. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 12 (2012) no. 1, pp. 14-28. http://geodesic.mathdoc.fr/item/VNGU_2012_12_1_a2/

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