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Zapiski Nauchnykh Seminarov POMI, 2008, Volume 360, Pages 238–245 (Mi znsl2167)  
This article is cited in 18 scientific papers (total in 18 papers)

Cyclic polygons are critical points of area

G. Paninaa, G. N. Khimshiashvilib

a St. Petersburg Institute for Informatics and Automation of RAS
b Ilia Chavchavadze State University
Full-text PDF (163 kB) Citations (18)
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Abstract: It is shown that typical critical points of the signed area function on the moduli space of a generic planar polygon are given by cyclic configurations, i.e., configurations that can be inscribed in a circle. Several related problems are briefly discussed in conclusion. Bibl. – 14 titles.
Received: 28.11.2008
English version:
Journal of Mathematical Sciences (New York), 2009, Volume 158, Issue 6, Pages 899–903
DOI: https://doi.org/10.1007/s10958-009-9417-z
Bibliographic databases:
UDC: 514.177.2
Language: English
Citation: G. Panina, G. N. Khimshiashvili, “Cyclic polygons are critical points of area”, Representation theory, dynamics systems, combinatorial methods. Part XVI, Zap. Nauchn. Sem. POMI, 360, POMI, St. Petersburg, 2008, 238–245; J. Math. Sci. (N. Y.), 158:6 (2009), 899–903
Citation in format AMSBIB
\Bibitem{PanKhi08}
\by G.~Panina, G.~N.~Khimshiashvili
\paper Cyclic polygons are critical points of area
\inbook Representation theory, dynamics systems, combinatorial methods. Part~XVI
\serial Zap. Nauchn. Sem. POMI
\yr 2008
\vol 360
\pages 238--245
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl2167}
\zmath{https://zbmath.org/?q=an:05632975}
\elib{https://elibrary.ru/item.asp?id=13759308}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2009
\vol 158
\issue 6
\pages 899--903
\crossref{https://doi.org/10.1007/s10958-009-9417-z}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-67349139223}
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  • https://www.mathnet.ru/eng/znsl/v360/p238
    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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