Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 2, pp. 477-483
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V. O. Manturov. On closedness of curves with periodic curvature. Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 2, pp. 477-483. http://geodesic.mathdoc.fr/item/FPM_2000_6_2_a8/
@article{FPM_2000_6_2_a8,
author = {V. O. Manturov},
title = {On closedness of curves with periodic curvature},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {477--483},
year = {2000},
volume = {6},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2000_6_2_a8/}
}
TY - JOUR
AU - V. O. Manturov
TI - On closedness of curves with periodic curvature
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 2000
SP - 477
EP - 483
VL - 6
IS - 2
UR - http://geodesic.mathdoc.fr/item/FPM_2000_6_2_a8/
LA - ru
ID - FPM_2000_6_2_a8
ER -
%0 Journal Article
%A V. O. Manturov
%T On closedness of curves with periodic curvature
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2000
%P 477-483
%V 6
%N 2
%U http://geodesic.mathdoc.fr/item/FPM_2000_6_2_a8/
%G ru
%F FPM_2000_6_2_a8
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.