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Zapiski Nauchnykh Seminarov POMI, 1998, Volume 252, Pages 21–32 (Mi znsl688)  
This article is cited in 1 scientific paper (total in 1 paper)

Analogues of the Appollonian circle on the Lobachevsky plane and on sphere

V. A. Zalgallera, O. M. Merkulovab

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Saint-Petersburg State University
Full-text PDF (209 kB) Citations (1)
Abstract: The analogue of the Apollonian circle on the Lobachevsky plane is a convex analytic curve. On the sphere this curve may be not convex and may be not analytic at one of its points. For the last reason, there may exist several separating sperical belts with maximal ratio of the exterior and interior radii.
Received: 12.12.1997
English version:
Journal of Mathematical Sciences (New York), 2001, Volume 104, Issue 4, Pages 1264–1271
DOI: https://doi.org/10.1023/A:1011321612298
Bibliographic databases:
UDC: 517.518.242
Language: Russian
Citation: V. A. Zalgaller, O. M. Merkulova, “Analogues of the Appollonian circle on the Lobachevsky plane and on sphere”, Geometry and topology. Part 3, Zap. Nauchn. Sem. POMI, 252, POMI, St. Petersburg, 1998, 21–32; J. Math. Sci. (New York), 104:4 (2001), 1264–1271
Citation in format AMSBIB
\Bibitem{ZalMer98}
\by V.~A.~Zalgaller, O.~M.~Merkulova
\paper Analogues of the Appollonian circle on the Lobachevsky plane and on sphere
\inbook Geometry and topology. Part~3
\serial Zap. Nauchn. Sem. POMI
\yr 1998
\vol 252
\pages 21--32
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl688}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1756712}
\zmath{https://zbmath.org/?q=an:0983.51014}
\transl
\jour J. Math. Sci. (New York)
\yr 2001
\vol 104
\issue 4
\pages 1264--1271
\crossref{https://doi.org/10.1023/A:1011321612298}
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    • 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
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