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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2019, Volume 16, Pages 1205–1214
DOI: https://doi.org/10.33048/semi.2019.16.082 (Mi semr1123) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Reviews

Unique determination of conformal type for domains. II

A. P. Kopylovab

a Sobolev Institute of Mathematics, 4, Koptyuga ave., Novosibirsk, 630090, Russia
b Novosibirsk State University, 1, Pirogova str., Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.33048/semi.2019.16.082
Abstract: 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, unique determination.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00875_a
The author was partially supported by the Russian Foundation for Basic Research (Grant 17-01-00875-a (2017-2019)).
Received May 23, 2019, published September 9, 2019
Bibliographic databases:
Document Type: Article
UDC: 514.772.35
MSC: 53C24,30C65
Language: English
Citation: A. P. Kopylov, “Unique determination of conformal type for domains. II”, Sib. Èlektron. Mat. Izv., 16 (2019), 1205–1214
Citation in format AMSBIB
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\by A.~P.~Kopylov
\paper Unique determination of~conformal type for~domains.~II
\jour Sib. \`Elektron. Mat. Izv.
\yr 2019
\vol 16
\pages 1205--1214
\mathnet{http://mi.mathnet.ru/semr1123}
\crossref{https://doi.org/10.33048/semi.2019.16.082}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000484818200001}
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  • https://www.mathnet.ru/eng/semr/v16/p1205
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