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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2010, Volume 10, Issue 4, Pages 68–81
(Mi vngu60)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/vngu60 https://www.mathnet.ru/eng/vngu/v10/i4/p68
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Abstract page: | 164 | Full-text PDF : | 58 | References: | 36 | First page: | 1 |
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