Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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}
Linking options:
  • https://www.mathnet.ru/eng/znsl688
  • https://www.mathnet.ru/eng/znsl/v252/p21
    • 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
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:304
    Full-text PDF :100
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024