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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2014 Volume 95, Issue 5, Pages 656–665 (Mi mzm9678)
This article is cited in 9 papers

Isoperimetric Inequality for Curves with Curvature Bounded Below

A. A. Borisenkoa, K. D. Drachba

a Sumy State University
b V. N. Karazin Kharkiv National University

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.

Keywords: isoperimetric inequality, embedded closed curve, minimal area.

UDC: 514.752.2+517.977.52

Received: 24.05.2012

DOI: 10.4213/mzm9678


 English version: Mathematical Notes, 2014, 95:5, 590–598

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© Steklov Math. Inst. of RAS, 2025