Trudy Matematicheskogo Instituta imeni V.A. Steklova
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (142 kB) Citations (2)
References:
PDF
HTML
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
\Bibitem{Zor12}
\by V.~A.~Zorich
\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
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2012
\vol 279
\pages 81--85
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3424}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3086759}
\elib{https://elibrary.ru/item.asp?id=18447438}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2012
\vol 279
\pages 73--77
\crossref{https://doi.org/10.1134/S008154381208007X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000314063000007}
\elib{https://elibrary.ru/item.asp?id=24514032}
Linking options:
  • https://www.mathnet.ru/eng/tm3424
  • https://www.mathnet.ru/eng/tm/v279/p81
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
    Statistics & downloads:
    Abstract page:369
    Full-text PDF :67
    References:74
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024