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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)
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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}
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  • 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
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    References:36
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