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Fundamentalnaya i Prikladnaya Matematika, 2000, Volume 6, Issue 2, Pages 477–483 (Mi fpm484)  

On closedness of curves with periodic curvature

V. O. Manturov

M. V. Lomonosov Moscow State University
Abstract: We consider some class of curves with periodic curvature, given by the following formula: $k=a\sin^2 t$. We give the equations of this curve and the values of $a$, corresponding to closed curves.
Received: 01.01.1997
Bibliographic databases:
UDC: 514.753.32
Language: Russian
Citation: V. O. Manturov, “On closedness of curves with periodic curvature”, Fundam. Prikl. Mat., 6:2 (2000), 477–483
Citation in format AMSBIB
\Bibitem{Man00}
\by V.~O.~Manturov
\paper On closedness of curves with periodic curvature
\jour Fundam. Prikl. Mat.
\yr 2000
\vol 6
\issue 2
\pages 477--483
\mathnet{http://mi.mathnet.ru/fpm484}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1798183}
\zmath{https://zbmath.org/?q=an:0990.53002}
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    Фундаментальная и прикладная математика
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