Geodesic
On some surfaces defined by conformal radius
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 1, pp. 179-188 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper, we study the properties of the conformal radius surface constructed over a unit disk or over the exterior of a unit disk for a domain with a convex boundary curve containing rectilinear part. We also discuss the properties of the conformal radius surface constructed over a half-plane for a domain with a polygonal boundary curve as well as the properties of the surface of the reconstructed conformal radius.
Keywords: conformal radius, surface of the conformal radius, coefficient of the hyperbolic metric.
Mots-clés : convex domain, convex polygon 
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A. N. Akhmetova; A. V. Khmelnitskaya. On some surfaces defined by conformal radius. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 1, pp. 179-188. http://geodesic.mathdoc.fr/item/UZKU_2012_154_1_a15/

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