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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2012, Volume 279, Pages 81–85 (Mi tm3424)  
This article is cited in 2 scientific papers (total in 2 papers)

Asymptotic behavior at infinity of the admissible growth of the quasiconformality coefficient and the injectivity of immersions of sub-Riemannian manifolds

V. A. Zorich

Faculty of Mechanics and Mathematics, Moscow State University, Moscow, Russia
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Abstract: We determine the asymptotic behavior of the admissible growth of the quasiconformality coefficient in a general global injectivity theorem for immersions of sub-Riemannian manifolds of conformally parabolic type. In the model case of a contact immersion of the Heisenberg group in itself, the asymptotic behavior of the admissible growth of the quasiconformality coefficient for which the mapping is still globally invertible was found by the author earlier.
Received in March 2012
English version:
Proceedings of the Steklov Institute of Mathematics, 2012, Volume 279, Pages 73–77
DOI: https://doi.org/10.1134/S008154381208007X
Bibliographic databases:
Document Type: Article
UDC: 517.54+514.774
Language: Russian
Citation: V. A. Zorich, “Asymptotic behavior at infinity of the admissible growth of the quasiconformality coefficient and the injectivity of immersions of sub-Riemannian manifolds”, Analytic and geometric issues of complex analysis, Collected papers, Trudy Mat. Inst. Steklova, 279, MAIK Nauka/Interperiodica, Moscow, 2012, 81–85; Proc. Steklov Inst. Math., 279 (2012), 73–77
Citation in format AMSBIB
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\paper Asymptotic behavior at infinity of the admissible growth of the quasiconformality coefficient and the injectivity of immersions of sub-Riemannian manifolds
\inbook Analytic and geometric issues of complex analysis
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\vol 279
\pages 81--85
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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\jour Proc. Steklov Inst. Math.
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\pages 73--77
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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