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Zapiski Nauchnykh Seminarov POMI, 1999, Volume 261, Pages 167–186 (Mi znsl1095)  
This article is cited in 6 scientific papers (total in 6 papers)

Inversive invariant of a pair of circles

A. I. Kurnosenko

Institute for High Energy Physics
Full-text PDF (444 kB) Citations (6)
Abstract: An inversive invariant of two oriented circles is introduced. Being close to Coxeter's inversive distance between two non-intersecting circles, it is defined for any pair of oriented circles (straight lines). To demonstrate its effectiveness, two topics are discussed the problem of $C^1$-conjunction of circles and the properties of plane curves with monotonous curvature.
Received: 29.04.1999
English version:
Journal of Mathematical Sciences (New York), 2002, Volume 110, Issue 4, Pages 2848–2860
DOI: https://doi.org/10.1023/A:1015310614585
Bibliographic databases:
UDC: 514.112.6
Language: Russian
Citation: A. I. Kurnosenko, “Inversive invariant of a pair of circles”, Geometry and topology. Part 4, Zap. Nauchn. Sem. POMI, 261, POMI, St. Petersburg, 1999, 167–186; J. Math. Sci. (New York), 110:4 (2002), 2848–2860
Citation in format AMSBIB
\Bibitem{Kur99}
\by A.~I.~Kurnosenko
\paper Inversive invariant of a pair of circles
\inbook Geometry and topology. Part~4
\serial Zap. Nauchn. Sem. POMI
\yr 1999
\vol 261
\pages 167--186
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1095}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1758424}
\zmath{https://zbmath.org/?q=an:1003.51017}
\transl
\jour J. Math. Sci. (New York)
\yr 2002
\vol 110
\issue 4
\pages 2848--2860
\crossref{https://doi.org/10.1023/A:1015310614585}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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