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

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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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     title = {On some surfaces defined by conformal radius},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
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     publisher = {mathdoc},
     volume = {154},
     number = {1},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2012_154_1_a15/}
}
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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/