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, 2010, Volume 10, Issue 4, Pages 68–81 (Mi vngu60)  
This article is cited in 4 scientific papers (total in 4 papers)

An injective Borel measurable map preserving fixed cross-ratio up to complex conjugation is a Möbius map

T. A. Kergilova

Gorno-Altaisk State University
Full-text PDF (246 kB) Citations (4)
References:
PDF
HTML
Abstract: The paper presents criterion for Möbius mappings in the complex plane: if an injective Borel measurable map preserves fixed cross-ratio $\lambda\notin \{0, 1, \infty\}$ up to complex conjugation, then it is a Möbius map.
Keywords: Moebius transformation, cross-ratio, linear-fractional map, extended complex plane, complex conjugation, Borel measurability.
Received: 08.06.2010
Document Type: Article
UDC: 517.54
Language: Russian
Citation: T. A. Kergilova, “An injective Borel measurable map preserving fixed cross-ratio up to complex conjugation is a Möbius map”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 10:4 (2010), 68–81
Citation in format AMSBIB
\Bibitem{Ker10}
\by T.~A.~Kergilova
\paper An injective Borel measurable map preserving fixed cross-ratio up to complex conjugation is a M\"obius map
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2010
\vol 10
\issue 4
\pages 68--81
\mathnet{http://mi.mathnet.ru/vngu60}
Linking options:
  • https://www.mathnet.ru/eng/vngu60
  • https://www.mathnet.ru/eng/vngu/v10/i4/p68
    • This publication is cited in the following 4 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:175
    Full-text PDF :66
    References:45
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024