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Funktsional'nyi Analiz i ego Prilozheniya, 2000, Volume 34, Issue 3, Pages 37–48
DOI: https://doi.org/10.4213/faa310 (Mi faa310) 		 
This article is cited in 19 scientific papers (total in 19 papers)

Quasiconformal Immersions of Riemannian Manifolds and a Picard Type Theorem

V. A. Zorich

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (289 kB) Citations (19)
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DOI: https://doi.org/10.4213/faa310
Abstract: We study singularities of quasiconformal immersions of Riemannian manifolds and show that the phenomenon of compulsory continuation holds in dimension $n\ge3$. In particular, this result in a stronger version of the Picard theorem—one without omitted values.
Received: 18.12.1998
English version:
Functional Analysis and Its Applications, 2000, Volume 34, Issue 3, Pages 188–196
DOI: https://doi.org/10.1007/BF02482408
Bibliographic databases:
Document Type: Article
UDC: 517.54+514.774
Language: Russian
Citation: V. A. Zorich, “Quasiconformal Immersions of Riemannian Manifolds and a Picard Type Theorem”, Funktsional. Anal. i Prilozhen., 34:3 (2000), 37–48; Funct. Anal. Appl., 34:3 (2000), 188–196
Citation in format AMSBIB
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\paper Quasiconformal Immersions of Riemannian Manifolds and a Picard Type Theorem
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\transl
\jour Funct. Anal. Appl.
\yr 2000
\vol 34
\issue 3
\pages 188--196
\crossref{https://doi.org/10.1007/BF02482408}
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  • https://doi.org/10.4213/faa310
  • https://www.mathnet.ru/eng/faa/v34/i3/p37
    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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    References:36
     
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