Geodesic
Unique determination of~conformal type for~domains.~II
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 1205-1214

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The article is the second part of a review series entitled “Unique determination of conformal type for domains”, initiated by the author's eponymous paper, published in Sib. Èlektron. Mat. Izv., 16, 692–708 (2019). The main result of the present article is that any convex bounded polyhedral domain in the three-dimensional Euclidean space is uniquely determined by the relative conformal moduli of its boundary condensers.
Keywords: $p$-modulus of a family of paths, boundary condenser, quasiconformal mapping, conformal mapping, isometric mapping
Mots-clés : unique determination. 
@article{SEMR_2019_16_a126,
     author = {A. P. Kopylov},
     title = {Unique determination of~conformal type {for~domains.~II}},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1205--1214},
     publisher = {mathdoc},
     volume = {16},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2019_16_a126/}
}
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A. P. Kopylov. Unique determination of~conformal type for~domains.~II. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 1205-1214. http://geodesic.mathdoc.fr/item/SEMR_2019_16_a126/