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Sbornik: Mathematics, 2017, Volume 208, Issue 3, Pages 377–398
DOI: https://doi.org/10.1070/SM8645 (Mi sm8645) 		 
This article is cited in 3 scientific papers (total in 4 papers)

Some observations concerning multidimensional quasiconformal mappings

V. A. Zorich

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (543 kB) Citations (4)
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DOI: https://doi.org/10.1070/SM8645
Abstract: For several important objects and quantities in the theory of quasiconformal space mappings, we discuss their dependence on the dimension of the space. In particular, in connection with the global homeomorphism theorem and the theorem on the injectivity radius of quasiconformal immersions, we consider the asymptotic behaviour of the moduli of Grötzsch and Teichmüller rings with respect to the dimension.
Bibliography: 23 titles.
Keywords: quasiconformal mapping, injectivity radius, conformal capacity, Grötzsch ring, Teichmüller ring.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00709-а
13-01-12417-офи-м
17-01-00592-а
This research was carried out with the support of the Russian Foundation for Basic Research (grant nos. 14-01-00709_a and 17-01-00592_а).
Received: 07.12.2015 and 04.04.2016
Russian version:
Matematicheskii Sbornik, 2017, Volume 208, Number 3, Pages 72–95
DOI: https://doi.org/10.4213/sm8645
Bibliographic databases:
Document Type: Article
UDC: 517.54+514.774
MSC: Primary 30C65; Secondary 30C62, 53D10
Language: English
Original paper language: Russian
Citation: V. A. Zorich, “Some observations concerning multidimensional quasiconformal mappings”, Mat. Sb., 208:3 (2017), 72–95; Sb. Math., 208:3 (2017), 377–398
Citation in format AMSBIB
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