Abstract
For embedded closed curves with curvature bounded below, we prove an isoperimetric inequality estimating the minimal area bounded by such curves for a fixed perimeter.
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A. V. Arutyunov, G. G. Magaril-Il’yaev, and V.M. Tikhomirov, Pontryagin’sMaximum Principle: Proof and Applications (Faktorial Press, Moscow, 2006) [in Russian].
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Original Russian Text © A. A. Borisenko, K. D. Drach, 2014, published in Matematicheskie Zametki, 2014, Vol. 95, No. 5, pp. 656–665.
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Borisenko, A.A., Drach, K.D. Isoperimetric inequality for curves with curvature bounded below. Math Notes 95, 590–598 (2014). https://doi.org/10.1134/S0001434614050034
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DOI: https://doi.org/10.1134/S0001434614050034