Geodesic
About polarization with respect to hypersphere
Dalʹnevostočnyj matematičeskij žurnal, Tome 5 (2004) no. 1, pp. 22-29 
E. V. Kostyuchenko; E. G. Prilepkina. About polarization with respect to hypersphere. Dalʹnevostočnyj matematičeskij žurnal, Tome 5 (2004) no. 1, pp. 22-29. http://geodesic.mathdoc.fr/item/DVMG_2004_5_1_a3/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Polarization with respect to hypersphere is expressed with the help of conformal mappings through polarization of flat sets with respect to a straight line. It is formulated continuous (partial) simmetrization with respect to hypersphere in euclidean $n$-space. As an application of the new representation of hypersphere-polarization the non-increasing of the conformal capacity of condenser is proved.

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