Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sib. J. Pure and Appl. Math.:
Year:
Volume:
Issue:
Page:
Find




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

Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2012, Volume 12, Issue 1, Pages 14–28 (Mi vngu107)  
This article is cited in 1 scientific paper (total in 1 paper)

Anharmonic ratio and the minimal criteria for Möbius property

V. V. Aseeva, T. A. Kergilovab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
b Gorno-Altaisk State University, Gorno-Altaisk, Russia
Full-text PDF (244 kB) Citations (1)
References:
PDF
HTML
Abstract: We give some criteria for Möbius property of a homeomorphism of domains in $\bar R^n$ which preserves fixed anharmonic ratio $\lambda\neq0,1,\infty$. For the case of even-dimensional space as well as for the case of real $\lambda$ the requirement of a map to be homeomorphism in the theorem can be replaced by injectivity and Borel measurability. For a homeomorphism which slightly changes fixed cross-ratio we get the upper estimates for it's coefficient of quasiconformality.
Keywords: anharmonic ratio, Möbius mapping, geometric criteria of Möbius property, quasiconformal mapping, coefficient of quasiconformality.
Received: 11.10.2011
English version:
Journal of Mathematical Sciences, 2014, Volume 198, Issue 5, Pages 485–497
DOI: https://doi.org/10.1007/s10958-014-1804-4
Document Type: Article
UDC: 517.54
Language: Russian
Citation: V. V. Aseev, T. A. Kergilova, “Anharmonic ratio and the minimal criteria for Möbius property”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 12:1 (2012), 14–28; J. Math. Sci., 198:5 (2014), 485–497
Citation in format AMSBIB
\Bibitem{AseKer12}
\by V.~V.~Aseev, T.~A.~Kergilova
\paper Anharmonic ratio and the minimal criteria for M\"obius property
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2012
\vol 12
\issue 1
\pages 14--28
\mathnet{http://mi.mathnet.ru/vngu107}
\transl
\jour J. Math. Sci.
\yr 2014
\vol 198
\issue 5
\pages 485--497
\crossref{https://doi.org/10.1007/s10958-014-1804-4}
Linking options:
  • https://www.mathnet.ru/eng/vngu107
  • https://www.mathnet.ru/eng/vngu/v12/i1/p14
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
    Statistics & downloads:
    Abstract page:235
    Full-text PDF :143
    References:50
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024